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, cliv
Binary100110102
Ternary122013
Senary4146
Octal2328
Duodecimal10A12
Hexadecimal9A16

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

In mathematics

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154 is a nonagonal number.[1] 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 0! and assumes that 0!=1.

With just 17 cuts, a pancake can be cut up into 154 pieces (Lazy caterer's sequence).[2]

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.

References

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  1. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  2. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
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