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56890560 = 2635193119
BaseRepresentation
bin1101100100000…
…1010011000000
310222001100011210
43121001103000
5104030444220
65351210120
71260363456
oct331012300
9128040153
1056890560
112a1277a1
1217076940
13ba2b86c
1477ac9d6
154edb6e0
hex36414c0

56890560 has 112 divisors (see below), whose sum is σ = 190195200. Its totient is φ = 14367744.

The previous prime is 56890543. The next prime is 56890577. The reversal of 56890560 is 6509865.

It is an interprime number because it is at equal distance from previous prime (56890543) and next prime (56890577).

It is a super-2 number, since 2×568905602 = 6473071634227200, which contains 22 as substring.

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, 16681 + ... + 19799.

Almost surely, 256890560 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 56890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95097600).

56890560 is an abundant number, since it is smaller than the sum of its proper divisors (133304640).

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

56890560 is a wasteful number, since it uses less digits than its factorization.

56890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 56890560 is about 7542.5831119054. The cubic root of 56890560 is about 384.6036512523.

The spelling of 56890560 in words is "fifty-six million, eight hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3119 3648 4560 6080 6238 9120 9357 12476 15595 18240 18714 24952 31190 37428 46785 49904 59261 62380 74856 93570 99808 118522 124760 149712 177783 187140 199616 237044 249520 296305 299424 355566 374280 474088 499040 592610 598848 711132 748560 888915 948176 998080 1185220 1422264 1497120 1777830 1896352 2370440 2844528 2994240 3555660 3792704 4740880 5689056 7111320 9481760 11378112 14222640 18963520 28445280 56890560