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56956560 = 2435237319
BaseRepresentation
bin1101100101000…
…1011010010000
310222011200201020
43121101122100
5104040102220
65352435440
71261060053
oct331213220
9128150636
1056956560
112a172341
12170a8b80
13ba5290b
1477c8a9a
155001040
hex3651690

56956560 has 40 divisors (see below), whose sum is σ = 176566080. Its totient is φ = 15188352.

The previous prime is 56956513. The next prime is 56956567. The reversal of 56956560 is 6565965.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (56956567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118420 + ... + 118899.

It is an arithmetic number, because the mean of its divisors is an integer number (4414152).

Almost surely, 256956560 is an apocalyptic number.

It is an amenable number.

56956560 is an abundant number, since it is smaller than the sum of its proper divisors (119609520).

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

56956560 is a wasteful number, since it uses less digits than its factorization.

56956560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237335 (or 237329 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 56956560 is about 7546.9570026601. The cubic root of 56956560 is about 384.7523228491.

The spelling of 56956560 in words is "fifty-six million, nine hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 237319 474638 711957 949276 1186595 1423914 1898552 2373190 2847828 3559785 3797104 4746380 5695656 7119570 9492760 11391312 14239140 18985520 28478280 56956560