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56401560 = 23325156671
BaseRepresentation
bin1101011100100…
…1111010011000
310221010111101200
43113021322120
5103414322220
65332514200
71253256015
oct327117230
9127114350
1056401560
1129923366
1216a7b960
13b8ba107
1476c270c
154e41890
hex35c9e98

56401560 has 48 divisors (see below), whose sum is σ = 183306240. Its totient is φ = 15040320.

The previous prime is 56401559. The next prime is 56401561. The reversal of 56401560 is 6510465.

It is a happy number.

56401560 is a `hidden beast` number, since 5 + 640 + 15 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56401559) and next prime (56401561).

It is a super-2 number, since 2×564015602 = 6362271940867200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56401561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77976 + ... + 78695.

It is an arithmetic number, because the mean of its divisors is an integer number (3818880).

Almost surely, 256401560 is an apocalyptic number.

It is an amenable number.

56401560 is an abundant number, since it is smaller than the sum of its proper divisors (126904680).

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

56401560 is a wasteful number, since it uses less digits than its factorization.

56401560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156688 (or 156681 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56401560 is about 7510.0972030993. The cubic root of 56401560 is about 383.4985316118.

The spelling of 56401560 in words is "fifty-six million, four hundred one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 156671 313342 470013 626684 783355 940026 1253368 1410039 1566710 1880052 2350065 2820078 3133420 3760104 4700130 5640156 6266840 7050195 9400260 11280312 14100390 18800520 28200780 56401560