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56097960 = 233517107257
BaseRepresentation
bin1101010111111…
…1110010101000
310220120001221020
43111333302220
5103330113320
65322212440
71250552622
oct325776250
9126501836
1056097960
1129736256
1216954120
13b811b79
147643c12
154dd1940
hex357fca8

56097960 has 128 divisors (see below), whose sum is σ = 180558720. Its totient is φ = 13893632.

The previous prime is 56097953. The next prime is 56097971. The reversal of 56097960 is 6979065.

It is a super-2 number, since 2×560979602 = 6293962232323200, which contains 22 as substring.

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, 218152 + ... + 218408.

It is an arithmetic number, because the mean of its divisors is an integer number (1410615).

Almost surely, 256097960 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 56097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90279360).

56097960 is an abundant number, since it is smaller than the sum of its proper divisors (124460760).

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

56097960 is a wasteful number, since it uses less digits than its factorization.

56097960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 56097960 is about 7489.8571414948. The cubic root of 56097960 is about 382.8091908141.

The spelling of 56097960 in words is "fifty-six million, ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 107 120 136 170 204 214 255 257 321 340 408 428 510 514 535 642 680 771 856 1020 1028 1070 1284 1285 1542 1605 1819 2040 2056 2140 2568 2570 3084 3210 3638 3855 4280 4369 5140 5457 6168 6420 7276 7710 8738 9095 10280 10914 12840 13107 14552 15420 17476 18190 21828 21845 26214 27285 27499 30840 34952 36380 43656 43690 52428 54570 54998 65535 72760 82497 87380 104856 109140 109996 131070 137495 164994 174760 218280 219992 262140 274990 329988 412485 467483 524280 549980 659976 824970 934966 1099960 1402449 1649940 1869932 2337415 2804898 3299880 3739864 4674830 5609796 7012245 9349660 11219592 14024490 18699320 28048980 56097960