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56085960 = 23357232903
BaseRepresentation
bin1101010111110…
…0110111001000
310220112110110210
43111330313020
5103324222320
65322041120
71250502630
oct325746710
9126473423
1056085960
1129728237
12169491a0
13b809578
14763d6c0
154dcd0e0
hex357cdc8

56085960 has 128 divisors (see below), whose sum is σ = 200724480. Its totient is φ = 12258048.

The previous prime is 56085959. The next prime is 56085977. The reversal of 56085960 is 6958065.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17869 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 256085960 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 56085960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100362240).

56085960 is an abundant number, since it is smaller than the sum of its proper divisors (144638520).

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

56085960 is a wasteful number, since it uses less digits than its factorization.

56085960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2943 counting only the distinct ones).

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

The square root of 56085960 is about 7489.0560152799. The cubic root of 56085960 is about 382.7818931020.

The spelling of 56085960 in words is "fifty-six million, eighty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 2903 3220 3864 4830 5806 6440 8709 9660 11612 14515 17418 19320 20321 23224 29030 34836 40642 43545 58060 60963 66769 69672 81284 87090 101605 116120 121926 133538 162568 174180 200307 203210 243852 267076 304815 333845 348360 400614 406420 467383 487704 534152 609630 667690 801228 812840 934766 1001535 1219260 1335380 1402149 1602456 1869532 2003070 2336915 2438520 2670760 2804298 3739064 4006140 4673830 5608596 7010745 8012280 9347660 11217192 14021490 18695320 28042980 56085960