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56332560 = 24351713807
BaseRepresentation
bin1101011011100…
…1000100010000
310220222222202010
43112321010100
5103410120220
65331222520
71252550604
oct326710420
9126888663
1056332560
1129886539
1216a47a40
13b89489b
1476a5504
154e2b1e0
hex35b9110

56332560 has 80 divisors (see below), whose sum is σ = 184916736. Its totient is φ = 14137344.

The previous prime is 56332541. The next prime is 56332561. The reversal of 56332560 is 6523365.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56332561) 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 15 ways as a sum of consecutive naturals, for example, 2824 + ... + 10983.

Almost surely, 256332560 is an apocalyptic number.

It is an amenable number.

56332560 is an abundant number, since it is smaller than the sum of its proper divisors (128584176).

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

56332560 is a wasteful number, since it uses less digits than its factorization.

56332560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13834 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 56332560 is about 7505.5019818797. The cubic root of 56332560 is about 383.3420808758.

The spelling of 56332560 in words is "fifty-six million, three hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 13807 27614 41421 55228 69035 82842 110456 138070 165684 207105 220912 234719 276140 331368 414210 469438 552280 662736 704157 828420 938876 1104560 1173595 1408314 1656840 1877752 2347190 2816628 3313680 3520785 3755504 4694380 5633256 7041570 9388760 11266512 14083140 18777520 28166280 56332560