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56865120 = 2535132701
BaseRepresentation
bin1101100011101…
…1000101100000
310222000001021120
43120323011200
5104024140440
65350452240
71260226344
oct330730540
9128001246
1056865120
112a10a674
1217064080
13ba20100
1477a3624
154ed3dd0
hex363b160

56865120 has 144 divisors (see below), whose sum is σ = 194240592. Its totient is φ = 13977600.

The previous prime is 56865113. The next prime is 56865161. The reversal of 56865120 is 2156865.

It is a super-2 number, since 2×568651202 = 6467283745228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80770 + ... + 81470.

It is an arithmetic number, because the mean of its divisors is an integer number (1348893).

Almost surely, 256865120 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 56865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97120296).

56865120 is an abundant number, since it is smaller than the sum of its proper divisors (137375472).

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

56865120 is a wasteful number, since it uses less digits than its factorization.

56865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 56865120 is about 7540.8964984278. The cubic root of 56865120 is about 384.5463144072.

The spelling of 56865120 in words is "fifty-six million, eight hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 701 780 845 1014 1040 1248 1352 1402 1560 1690 2028 2080 2103 2535 2704 2804 3120 3380 3505 4056 4206 5070 5408 5608 6240 6760 7010 8112 8412 9113 10140 10515 11216 13520 14020 16224 16824 18226 20280 21030 22432 27040 27339 28040 33648 36452 40560 42060 45565 54678 56080 67296 72904 81120 84120 91130 109356 112160 118469 136695 145808 168240 182260 218712 236938 273390 291616 336480 355407 364520 437424 473876 546780 592345 710814 729040 874848 947752 1093560 1184690 1421628 1458080 1777035 1895504 2187120 2369380 2843256 3554070 3791008 4374240 4738760 5686512 7108140 9477520 11373024 14216280 18955040 28432560 56865120