96 (number)

96 (number)
For the Australian TV series see Number 96 (TV series). For other uses see 96 (disambiguation).

96 (ninety-six) is the natural number following 95 and preceding 97.

96
Cardinal ninety-six
Ordinal 96th
(ninety-sixth)
Numeral system 96
Factorization 2^5 \cdot 3
Divisors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Roman numeral XCVI
Binary 11000002
Octal 1408
Duodecimal 8012
Hexadecimal 6016

In mathematics

Ninety-six is an octagonal number, a refactorable number and an untouchable number. Since it is a multiple of 6, it is a semiperfect number

Ninety-six is 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 is 96.

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, 96 is an Erdős–Woods number.

Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.

See also

External links


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