168 (number)

	[[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred sixty-eight
Ordinal	168th; (one hundred sixty-eighth)
Factorization	23× 3 × 7
Divisors	1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greek numeral	ΡΞΗ´
Roman numeral	CLXVIII
Binary	101010002
Ternary	200203
Quaternary	22204
Quinary	11335
Senary	4406
Octal	2508
Duodecimal	12012
Hexadecimal	A816
Vigesimal	8820
Base 36	4O36

168 (one hundred [and] sixty-eight) is the natural number following 167 and preceding 169.

In mathematics

168 is an even number, a composite number, an abundant number, and an idoneal number.^[1]

There are 168 primes less than 1000. 168 is the product of the first two perfect numbers.

168 is the order of the group PSL(2,7), the second smallest nonabelian simple group.

From Hurwitz's automorphisms theorem, 168 is the maximum possible number of automorphisms of a genus 3 Riemann surface, this maximum being achieved by the Klein quartic, whose symmetry group is PSL(2,7).^[2] The Fano plane has 168 symmetries.

168 is the sum of four consecutive prime numbers: 37 + 41 + 43 + 47.

In astronomy

168P/Hergenrother is a periodic comet in our solar system
168 Sibylla is a dark Main belt asteroid

In the military

Japanese submarine I-168 was an Imperial Japanese Navy Kaidai-class submarine during World War II
USNS Catawba (T-ATF-168) is a United States Navy fleet tugboat
USS Amick (DE-168) was a United States Navy Cannon-class destroyer escort during World War II
USS Charlevoix (AK-168) was a United States Navy Alamosa-class cargo ship during World War II
USS Gage (APA-168) was a United States Navy Haskell-class attack transport during World War II
USS Maddox (DD-168) was a United States Navy Wickes-class destroyer during World War I
USS Nautilus (SS-168) was a United States Navy Narwhal-class submarine during World War II
USS Southland (IX-168) was a United States Navy steamer during World War II
USS War Hawk (AP-168) was a La Salle-class transport during World War II

In movies

The 168 Film Project in Los Angeles

In transportation

New York City Subway stations
- 168th Street (New York City Subway); a subway station complex at 168th Street and Broadway consisting of:
  - 168th Street (IRT Broadway – Seventh Avenue Line); serving the 1 train
  - 168th Street (IND Eighth Avenue Line); serving the A and C trains
- 168th Street (BMT Jamaica Line); was the former terminal of the BMT Jamaica Line in Queens
British Rail Class 168
VASP Flight 168 from Rio de Janeiro, Brazil to Fortaleza; crashed on June 8, 1982

In other fields

168 is also:

There are 168 pips on a double-six set of dominoes

The year AD 168 or 168 BC
168 AH is a year in the Islamic calendar that corresponds to 784 – 785 CE
The number of hours in a week, or 7 x 24 hours
In the game of dominoes, tiles are marked with a number of spots, or pips. The Double 6 set (28 tiles) totals 168 pips
Tracy 168, a New York City graffiti artist
Minuscule 168 is a Greek minuscule manuscript of the New Testament
Some Chinese consider 168 a lucky number, because it is roughly homophonous with the phrase "一路發", which means "fortune all the way"

References

↑ "Sloane's A000926 : Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
↑ This Week's Finds in Mathematical Physics

External links

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[1] "Sloane's A000926 : Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

[2] This Week's Finds in Mathematical Physics