154 (number)
| ||||
|---|---|---|---|---|
| Cardinal | one hundred fifty-four | |||
| Ordinal | 154th (one hundred fifty-fourth) | |||
| Factorization | 2 × 7 × 11 | |||
| Divisors | 1, 2, 7, 11, 14, 22, 77, 154 | |||
| Greek numeral | ΡΝΔ´ | |||
| Roman numeral | CLIV, cliv | |||
| Binary | 100110102 | |||
| Ternary | 122013 | |||
| Senary | 4146 | |||
| Octal | 2328 | |||
| Duodecimal | 10A12 | |||
| Hexadecimal | 9A16 | |||
154 (one hundred [and] fifty-four) is the natural number following 153 and preceding 155.
In mathematics
[edit]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 and assumes that .
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
[edit]- ^ "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A000124 : Central polygonal numbers (the Lazy Caterer's sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 140 - 141
External links
[edit]
Wikimedia Commons has media related to 154 (number).
- Virtual Science: Number 154 Archived 2017-06-30 at the Wayback Machine