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56405660 = 22517237213
BaseRepresentation
bin1101011100101…
…0111010011100
310221010201000112
43113022322130
5103414440120
65332545152
71253303663
oct327127234
9127121015
1056405660
1129926453
1216a821b8
13b8bbc3c
1476c3dda
154e42bc5
hex35cae9c

56405660 has 48 divisors (see below), whose sum is σ = 130890816. Its totient is φ = 20308992.

The previous prime is 56405659. The next prime is 56405689. The reversal of 56405660 is 6650465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4214 + ... + 11426.

It is an arithmetic number, because the mean of its divisors is an integer number (2726892).

Almost surely, 256405660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56405660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65445408).

56405660 is an abundant number, since it is smaller than the sum of its proper divisors (74485156).

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

56405660 is a wasteful number, since it uses less digits than its factorization.

56405660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 56405660 is about 7510.3701639799. The cubic root of 56405660 is about 383.5078239427.

The spelling of 56405660 in words is "fifty-six million, four hundred five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7213 7820 14426 28852 36065 72130 122621 144260 165899 245242 331798 490484 613105 663596 829495 1226210 1658990 2452420 2820283 3317980 5640566 11281132 14101415 28202830 56405660