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12964 = 227463
BaseRepresentation
bin11001010100100
3122210011
43022210
5403324
6140004
752540
oct31244
918704
1012964
119816
127604
135b93
144a20
153c94
hex32a4

12964 has 12 divisors (see below), whose sum is σ = 25984. Its totient is φ = 5544.

The previous prime is 12959. The next prime is 12967. The reversal of 12964 is 46921.

It can be divided in two parts, 1296 and 4, that multiplied together give a square (5184 = 722).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204 + ... + 259.

12964 is a Friedman number, since it can be written as 926*14, using all its digits and the basic arithmetic operations.

212964 is an apocalyptic number.

12964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992).

12964 is a wasteful number, since it uses less digits than its factorization.

12964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 12964 is about 113.8595626199. The cubic root of 12964 is about 23.4916221834.

The spelling of 12964 in words is "twelve thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 463 926 1852 3241 6482 12964