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56390760 = 23325156641
BaseRepresentation
bin1101011100011…
…1010001101000
310221002221120200
43113013101220
5103414001020
65332352200
71253212356
oct327072150
9127087520
1056390760
1129916238
1216a75660
13b8b521a
1476bc7d6
154e3d590
hex35c7468

56390760 has 48 divisors (see below), whose sum is σ = 183271140. Its totient is φ = 15037440.

The previous prime is 56390743. The next prime is 56390783. The reversal of 56390760 is 6709365.

It is a happy number.

56390760 is a `hidden beast` number, since 563 + 90 + 7 + 6 + 0 = 666.

56390760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52446564 + 3944196 = 7242^2 + 1986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77961 + ... + 78680.

Almost surely, 256390760 is an apocalyptic number.

It is an amenable number.

56390760 is an abundant number, since it is smaller than the sum of its proper divisors (126880380).

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

56390760 is a wasteful number, since it uses less digits than its factorization.

56390760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156658 (or 156651 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 56390760 is about 7509.3781367035. The cubic root of 56390760 is about 383.4740520966.

The spelling of 56390760 in words is "fifty-six million, three hundred ninety thousand, seven 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 156641 313282 469923 626564 783205 939846 1253128 1409769 1566410 1879692 2349615 2819538 3132820 3759384 4699230 5639076 6265640 7048845 9398460 11278152 14097690 18796920 28195380 56390760