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13956 = 2231163
BaseRepresentation
bin11011010000100
3201010220
43122010
5421311
6144340
755455
oct33204
921126
1013956
11a538
1280b0
136477
14512c
154206
hex3684

13956 has 12 divisors (see below), whose sum is σ = 32592. Its totient is φ = 4648.

The previous prime is 13933. The next prime is 13963. The reversal of 13956 is 65931.

13956 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is an unprimeable number.

13956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (2716).

213956 is an apocalyptic number.

It is an amenable number.

13956 is an abundant number, since it is smaller than the sum of its proper divisors (18636).

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 (16296).

13956 is a wasteful number, since it uses less digits than its factorization.

13956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 13956 is about 118.1355154050. The cubic root of 13956 is about 24.0761470346.

It can be divided in two parts, 13 and 956, that added together give a palindrome (969).

The spelling of 13956 in words is "thirteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 1163 2326 3489 4652 6978 13956