Search a number
10596 = 223883
BaseRepresentation
bin10100101100100
3112112110
42211210
5314341
6121020
742615
oct24544
915473
1010596
117a63
126170
134a91
143c0c
153216
hex2964

10596 has 12 divisors (see below), whose sum is σ = 24752. Its totient is φ = 3528.

The previous prime is 10589. The next prime is 10597. The reversal of 10596 is 69501.

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

It is a super-2 number, since 2×105962 = 224550432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10597) 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, 430 + ... + 453.

210596 is an apocalyptic number.

It is an amenable number.

10596 is an abundant number, since it is smaller than the sum of its proper divisors (14156).

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 (12376).

10596 is a wasteful number, since it uses less digits than its factorization.

10596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10596 is about 102.9368738597. The cubic root of 10596 is about 21.9641288715.

It can be divided in two parts, 10 and 596, that added together give a palindrome (606).

The spelling of 10596 in words is "ten thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 12 883 1766 2649 3532 5298 10596