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960505956 = 223226680721
BaseRepresentation
bin111001010000000…
…010100001100100
32110221100202110200
4321100002201210
53431342142311
6235150550500
732542110624
oct7120024144
92427322420
10960505956
114531a9383
12229808430
13123cbca27
14917ca884
15594ce556
hex39402864

960505956 has 18 divisors (see below), whose sum is σ = 2427945702. Its totient is φ = 320168640.

The previous prime is 960505913. The next prime is 960505961. The reversal of 960505956 is 659505069.

960505956 is a `hidden beast` number, since 9 + 6 + 0 + 50 + 595 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 951105600 + 9400356 = 30840^2 + 3066^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×9605059562 = 1845143383022947872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13340325 + ... + 13340396.

Almost surely, 2960505956 is an apocalyptic number.

It is an amenable number.

960505956 is an abundant number, since it is smaller than the sum of its proper divisors (1467439746).

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

960505956 is a wasteful number, since it uses less digits than its factorization.

960505956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26680731 (or 26680726 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 960505956 is about 30992.0305239912. The cubic root of 960505956 is about 986.6581041279.

The spelling of 960505956 in words is "nine hundred sixty million, five hundred five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 26680721 53361442 80042163 106722884 160084326 240126489 320168652 480252978 960505956