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56396920 = 23523591039
BaseRepresentation
bin1101011100100…
…0110001111000
310221010021000211
43113020301320
5103414200140
65332440504
71253236336
oct327106170
9127107024
1056396920
112991a928
1216a79134
13b8b7c78
1476c0b56
154e402ea
hex35c8c78

56396920 has 64 divisors (see below), whose sum is σ = 134784000. Its totient is φ = 21191808.

The previous prime is 56396911. The next prime is 56396957. The reversal of 56396920 is 2969365.

56396920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×563969202 = 6361225170972800, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 53761 + ... + 54799.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 256396920 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 56396920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392000).

56396920 is an abundant number, since it is smaller than the sum of its proper divisors (78387080).

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

56396920 is a wasteful number, since it uses less digits than its factorization.

56396920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 56396920 is about 7509.7882793059. The cubic root of 56396920 is about 383.4880148697.

The spelling of 56396920 in words is "fifty-six million, three hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 460 472 590 920 1039 1180 1357 2078 2360 2714 4156 5195 5428 6785 8312 10390 10856 13570 20780 23897 27140 41560 47794 54280 61301 95588 119485 122602 191176 238970 245204 306505 477940 490408 613010 955880 1226020 1409923 2452040 2819846 5639692 7049615 11279384 14099230 28198460 56396920