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14964 = 2232943
BaseRepresentation
bin11101001110100
3202112020
43221310
5434324
6153140
761425
oct35164
922466
1014964
1110274
1287b0
136a71
14564c
154679
hex3a74

14964 has 24 divisors (see below), whose sum is σ = 36960. Its totient is φ = 4704.

The previous prime is 14957. The next prime is 14969. The reversal of 14964 is 46941.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14964.

It is not an unprimeable number, because it can be changed into a prime (14969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

214964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480).

14964 is an abundant number, since it is smaller than the sum of its proper divisors (21996).

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

14964 is a wasteful number, since it uses less digits than its factorization.

14964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 14964 is about 122.3274294670. The cubic root of 14964 is about 24.6423752419.

The spelling of 14964 in words is "fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 7482 14964