96 (number)
| ||||
---|---|---|---|---|
Cardinal | ninety-six | |||
Ordinal |
96th (ninety-sixth) | |||
Factorization | 25× 3 | |||
Divisors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 | |||
Roman numeral | XCVI | |||
Binary | 11000002 | |||
Ternary | 101203 | |||
Quaternary | 12004 | |||
Quinary | 3415 | |||
Senary | 2406 | |||
Octal | 1408 | |||
Duodecimal | 8012 | |||
Hexadecimal | 6016 | |||
Vigesimal | 4G20 | |||
Base 36 | 2O36 |
96 (ninety-six) is the natural number following 95 and preceding 97.
In mathematics
96 is:
- an octagonal number.
- a refactorable number.
- an untouchable number.
- a semiperfect number, since it is a multiple of 6.
- an abundant number, since the sum of its divisors is > 96.
- the fourth Granville number and the second non-perfect Granville number. The next Granville number is 126, the previous being 24.
- the sum of Euler's totient function φ(x) over the first seventeen integers.
- palindromic in bases 6 (2326), 7 (1617), 22 (4422), and 45 (2245).
- an Erdős–Woods number, since it is possible to find sequences of 96 consecutive integers such that each inner member shares a factor with either the first or the last member.
Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.
See also
External links
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