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154 (number)

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← 153 154 155 →
Cardinalone hundred fifty-four
Ordinal154th
(one hundred fifty-fourth)
Factorization2 × 7 × 11
Divisors1, 2, 7, 11, 14, 22, 77, 154
Greek numeralΡΝΔ´
Roman numeralCLIV
Binary100110102
Ternary122013
Senary4146
Octal2328
Duodecimal10A12
Hexadecimal9A16

154 (one hundred [and] fifty-four) is the natural number following 153 and preceding 155.

In mathematics

154 is a nonagonal number. Its factorization makes 154 a sphenic number

There is no integer with exactly 154 coprimes below it, making 154 a noncototient, nor is there, in base 10, any integer that added up to its own digits yields 154, making 154 a self number

154 is the sum of the first six factorials, if one starts with and assumes that .

With just 17 cuts, a pancake can be cut up into 154 pieces (Lazy caterer's sequence).

The distinct prime factors of 154 add up to 20, and so do the ones of 153, hence the two form a Ruth-Aaron pair. 154! + 1 is a factorial prime.

In music

  • 154 is an album by Wire, named for the number of live gigs Wire had performed at that time[1]

In the military

In sports

In transportation

In other fields

154 is also:

See also

References

  1. ^ "154 - Wire". Allmusic. Retrieved 14 February 2013.