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12996 = 2232192
BaseRepresentation
bin11001011000100
3122211100
43023010
5403441
6140100
752614
oct31304
918740
1012996
119845
127630
135bb9
144a44
153cb6
hex32c4

12996 has 27 divisors (see below), whose sum is σ = 34671. Its totient is φ = 4104.

The previous prime is 12983. The next prime is 13001. The reversal of 12996 is 69921.

It can be divided in two parts, 129 and 96, that added together give a square (225 = 152).

12996 = T113 + T114.

It is a happy number.

The square root of 12996 is 114.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 675 + ... + 693.

12996 is a Friedman number, since it can be written as (6*(9+9+1))^2, using all its digits and the basic arithmetic operations.

212996 is an apocalyptic number.

12996 is the 114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12996

12996 is an abundant number, since it is smaller than the sum of its proper divisors (21675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12996 is a wasteful number, since it uses less digits than its factorization.

12996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 24 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The cubic root of 12996 is about 23.5109350045.

The spelling of 12996 in words is "twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996