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56681240 = 23572112239
BaseRepresentation
bin1101100000111…
…0001100011000
310221122201001012
43120032030120
5104002244430
65342513052
71255532300
oct330161430
9127581035
1056681240
1129aa4500
1216b95788
13b9874c5
147756600
154e99695
hex360e318

56681240 has 144 divisors (see below), whose sum is σ = 163749600. Its totient is φ = 17592960.

The previous prime is 56681203. The next prime is 56681257. The reversal of 56681240 is 4218665.

It is a junction number, because it is equal to n+sod(n) for n = 56681197 and 56681206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237041 + ... + 237279.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 256681240 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 56681240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81874800).

56681240 is an abundant number, since it is smaller than the sum of its proper divisors (107068360).

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

56681240 is a wasteful number, since it uses less digits than its factorization.

56681240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 56681240 is about 7528.6944419335. The cubic root of 56681240 is about 384.1313750427.

The spelling of 56681240 in words is "fifty-six million, six hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 239 242 245 280 308 385 392 440 478 484 490 539 605 616 770 847 956 968 980 1078 1195 1210 1540 1673 1694 1912 1960 2156 2390 2420 2629 2695 3080 3346 3388 4235 4312 4780 4840 5258 5390 5929 6692 6776 8365 8470 9560 10516 10780 11711 11858 13145 13384 16730 16940 18403 21032 21560 23422 23716 26290 28919 29645 33460 33880 36806 46844 47432 52580 57838 58555 59290 66920 73612 92015 93688 105160 115676 117110 118580 128821 144595 147224 184030 202433 231352 234220 237160 257642 289190 368060 404866 468440 515284 578380 644105 736120 809732 1012165 1030568 1156760 1288210 1417031 1619464 2024330 2576420 2834062 4048660 5152840 5668124 7085155 8097320 11336248 14170310 28340620 56681240