162 (number)
| ||||
|---|---|---|---|---|
| Cardinal | one hundred sixty-two | |||
| Ordinal | 162nd (one hundred sixty-second) | |||
| Factorization | 2 × 34 | |||
| Divisors | 1, 2, 3, 6, 9, 18, 27, 54, 81, 162 | |||
| Greek numeral | ΡΞΒ´ | |||
| Roman numeral | CLXII, clxii | |||
| Binary | 101000102 | |||
| Ternary | 200003 | |||
| Senary | 4306 | |||
| Octal | 2428 | |||
| Duodecimal | 11612 | |||
| Hexadecimal | A216 | |||
162 (one hundred [and] sixty-two) is the natural number between 161 and 163.
In mathematics
[edit]Having only 2 and 3 as its prime divisors, 162 is a 3-smooth number.[1] 162 is also an abundant number, since its sum of divisors is greater than it.[2] As the product of numbers three units apart from each other, it is a triple factorial number.[3]
There are 162 ways of partitioning seven items into subsets of at least two items per subset.[4] 16264 + 1 is a prime number.
References
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A003586 (3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
- ^ Sloane, N. J. A. (ed.). "Sequence A005101 (Abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007661 (Triple factorial numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000296 (Set partitions without singletons)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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