67 (number)

67 (sixty-seven) is the natural number following 66 and preceding 68. It is an odd number.

66 67 68
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Cardinalsixty-seven
Ordinal67th
(sixty-seventh)
Factorizationprime
Prime19th
Divisors1, 67
Greek numeralΞΖ´
Roman numeralLXVII
Binary10000112
Ternary21113
Quaternary10034
Quinary2325
Senary1516
Octal1038
Duodecimal5712
Hexadecimal4316
Vigesimal3720
Base 361V36

In mathematics

67 is:

  • the 19th prime number (the next is 71).
  • an irregular prime.[1]
  • a lucky prime.[2]
  • the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
  • a Heegner number.[3]
  • a Pillai prime since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18.[4]
  • palindromic in the consecutive bases 5 (2325) and 6 (1516).

In science

Astronomy

In music

Other fields

Sixty-seven is:

In sports

References

  1. "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. "Sloane's A003173 : Heegner numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  4. "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
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