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56120640 = 2635531103
BaseRepresentation
bin1101011000010…
…1010101000000
310220121020001020
43112011111000
5103331330030
65322505440
71251006012
oct326052500
9126536036
1056120640
11297512a4
1216965280
13b81c2a4
14764c1b2
154dd8510
hex3585540

56120640 has 112 divisors (see below), whose sum is σ = 181709568. Its totient is φ = 14669824.

The previous prime is 56120639. The next prime is 56120651. The reversal of 56120640 is 4602165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56120640.

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, 50329 + ... + 51431.

Almost surely, 256120640 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 56120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90854784).

56120640 is an abundant number, since it is smaller than the sum of its proper divisors (125588928).

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

56120640 is a wasteful number, since it uses less digits than its factorization.

56120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56120640 is about 7491.3710360654. The cubic root of 56120640 is about 382.8607728602.

The spelling of 56120640 in words is "fifty-six million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1103 1272 1590 1696 2120 2206 2544 3180 3309 3392 4240 4412 5088 5515 6360 6618 8480 8824 10176 11030 12720 13236 16545 16960 17648 22060 25440 26472 33090 35296 44120 50880 52944 58459 66180 70592 88240 105888 116918 132360 175377 176480 211776 233836 264720 292295 350754 352960 467672 529440 584590 701508 876885 935344 1058880 1169180 1403016 1753770 1870688 2338360 2806032 3507540 3741376 4676720 5612064 7015080 9353440 11224128 14030160 18706880 28060320 56120640