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56970360 = 23325198329
BaseRepresentation
bin1101100101010…
…0110001111000
310222012101122100
43121110301320
5104041022420
65353023400
71261145226
oct331246170
9128171570
1056970360
112a181747
12170b4b60
13ba58c95
1477cdb16
155005190
hex3654c78

56970360 has 96 divisors (see below), whose sum is σ = 194922000. Its totient is φ = 14390784.

The previous prime is 56970323. The next prime is 56970367. The reversal of 56970360 is 6307965.

It is a happy number.

56970360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56970367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2676 + ... + 11004.

Almost surely, 256970360 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 56970360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97461000).

56970360 is an abundant number, since it is smaller than the sum of its proper divisors (137951640).

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

56970360 is a wasteful number, since it uses less digits than its factorization.

56970360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8358 counting only the distinct ones).

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

The square root of 56970360 is about 7547.8712230668. The cubic root of 56970360 is about 384.7833942088.

The spelling of 56970360 in words is "fifty-six million, nine hundred seventy thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 8329 16658 24987 33316 41645 49974 66632 74961 83290 99948 124935 149922 158251 166580 199896 249870 299844 316502 333160 374805 474753 499740 599688 633004 749610 791255 949506 999480 1266008 1424259 1499220 1582510 1899012 2373765 2848518 2998440 3165020 3798024 4747530 5697036 6330040 7121295 9495060 11394072 14242590 18990120 28485180 56970360