115 (number)

114 115 116
[[{{#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)}}}}]]
Cardinal one hundred fifteen
Ordinal 115th
(one hundred fifteenth)
Factorization 5 × 23
Divisors 1, 5, 23, 115
Greek numeral ΡΙΕ´
Roman numeral CXV
Binary 11100112
Ternary 110213
Quaternary 13034
Quinary 4305
Senary 3116
Octal 1638
Duodecimal 9712
Hexadecimal 7316
Vigesimal 5F20
Base 36 3736

115 (one hundred [and] fifteen) is the natural number following 114 and preceding 116.

In mathematics

115 has a square sum of divisors:[1]

There are 115 different rooted trees with exactly eight nodes,[2] 115 inequivalent ways of placing six rooks on a 6 × 6 chess board in such a way that no two of the rooks attack each other,[3] and 115 solutions to the stamp folding problem for a strip of seven stamps.[4]

115 is also a heptagonal pyramidal number.[5] The 115th Woodall number,

is a prime number.[6]

In science

In other fields

115 is also the fire service emergency number in Mauritius[7] and Italy,[8] and the ambulance emergency number in Vietnam.[9]

See also

References

  1. Sloane, N.J.A. (ed.). "Sequence A006532 (Numbers n such that sum of divisors of n is a square)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N.J.A. (ed.). "Sequence A000081 (Number of rooted trees with n nodes (or connected functions with a fixed point))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N.J.A. (ed.). "Sequence A000903 (Number of inequivalent ways of placing n nonattacking rooks on n X n board)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. Sloane, N.J.A. (ed.). "Sequence A002369 (Number of ways of folding a strip of n rectangular stamps)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. Sloane, N.J.A. (ed.). "Sequence A002413 (Heptagonal (or 7-gonal) pyramidal numbers: n*(n+1)*(5*n-2)/6)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. Sloane, N.J.A. (ed.). "Sequence A002234 (Numbers n such that the Woodall number n*2^n - 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. Cheong-Lum, Roseline Ng (2009), CultureShock! Mauritius: A Survival Guide to Customs and Etiquette, Marshall Cavendish International Asia Pte Ltd, p. 287, ISBN 9789814435604 .
  8. DK Eyewitness Travel Guide: Italy, Penguin, 2013, p. 619, ISBN 9781465414946 .
  9. The Rough Guide to Southeast Asia On A Budget, Penguin, 2014, p. 1286, ISBN 9780241012727 .

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