96 (number)

"Number 96" redirects here. For the Australian soap opera, see Number 96 (TV series). For the 1974 drama film, see Number 96 (film). For the town in South Carolina, see Ninety Six, South Carolina.

← 95 96 97 →
← 90 91 92 93 94 95 96 97 98 99 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	ninety-six
Ordinal	96th (ninety-sixth)
Factorization	25 × 3
Divisors	1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Greek numeral	ϞϚ´
Roman numeral	XCVI, xcvi
Binary	11000002
Ternary	101203
Senary	2406
Octal	1408
Duodecimal	8012
Hexadecimal	6016

96 (ninety-six) is the natural number following 95 and preceding 97. It is a number that appears the same when turned upside down.

In mathematics

96 as the difference of two squares (in orange).

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 proper divisors is greater than 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.
• strobogrammatic in bases 10 (96₁₀), 11 (88₁₁) and 95 (11₉₅).
• palindromic in bases 11 (88₁₁), 15 (66₁₅), 23 (44₂₃), 31 (33₃₁), 47 (22₄₇) and 95 (11₉₅).
• 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.
• divisible by the number of prime numbers (24) below 96.
• the smallest natural number that can be expressed as the difference of two nonzero squares in more than three ways: $10^{2}-2^{2}$, $11^{2}-5^{2}$, $14^{2}-10^{2}$ or $25^{2}-23^{2}$.

The number of divisors of 96 is 12. As no smaller number has more than 12 divisors, 96 is a largely composite number.

Skilling's figure, a degenerate uniform polyhedron, has Euler characteristic $\chi =-96.$

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

External links

• On the number 96