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154 (number)

From Wikipedia, the free encyclopedia

One hundred fifty-four is the natural number following one hundred fifty-three and preceding one hundred fifty-five.

Cardinal One hundred [and] fifty-four
Ordinal 154th (One hundred [and] fifty-fourth)
Factorization 154 = 2 \cdot 7 \cdot 11
Roman numeral CLIV
Binary 10011010
Hexadecimal 9A

[edit] 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 fastorials.

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.

[edit] In other fields

Shakespeare wrote 154 sonnets.

154 was an album by Wire.

Prior to expansion in 1961, Major League Baseball teams played 154 games a season.

For the year, see 154 AD or 154 BC.

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