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56657920 = 211511503
BaseRepresentation
bin1101100000100…
…0100000000000
310221121112001111
43120020200000
5104001023140
65342213104
71255404304
oct330104000
9127545044
1056657920
1129a88a30
1216b84194
13b9799c7
14774bd04
154e927ea
hex3608800

56657920 has 96 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 20561920.

The previous prime is 56657917. The next prime is 56657927. The reversal of 56657920 is 2975665.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (56657927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112389 + ... + 112891.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 256657920 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 56657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

56657920 is an abundant number, since it is smaller than the sum of its proper divisors (91941440).

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

56657920 is a wasteful number, since it uses less digits than its factorization.

56657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 56657920 is about 7527.1455413058. The cubic root of 56657920 is about 384.0786875783.

The spelling of 56657920 in words is "fifty-six million, six hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 503 512 640 704 880 1006 1024 1280 1408 1760 2012 2048 2515 2560 2816 3520 4024 5030 5120 5533 5632 7040 8048 10060 10240 11066 11264 14080 16096 20120 22132 22528 27665 28160 32192 40240 44264 55330 56320 64384 80480 88528 110660 112640 128768 160960 177056 221320 257536 321920 354112 442640 515072 643840 708224 885280 1030144 1287680 1416448 1770560 2575360 2832896 3541120 5150720 5665792 7082240 11331584 14164480 28328960 56657920