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56545740 = 223251721087
BaseRepresentation
bin1101011110110…
…1000111001100
310221101211011200
43113231013030
5103433430430
65335545500
71254426246
oct327550714
9127354150
1056545740
1129a11719
1216b2b290
13b93a924
14771d096
154e6e460
hex35ed1cc

56545740 has 108 divisors (see below), whose sum is σ = 182372736. Its totient is φ = 14178816.

The previous prime is 56545733. The next prime is 56545763. The reversal of 56545740 is 4754565.

It is a happy number.

56545740 is a `hidden beast` number, since 565 + 4 + 57 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56545695 and 56545704.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51477 + ... + 52563.

Almost surely, 256545740 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 56545740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91186368).

56545740 is an abundant number, since it is smaller than the sum of its proper divisors (125826996).

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

56545740 is a wasteful number, since it uses less digits than its factorization.

56545740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 56545740 is about 7519.6901531912. The cubic root of 56545740 is about 383.8250342230.

The spelling of 56545740 in words is "fifty-six million, five hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1087 1156 1445 1530 1734 2174 2601 2890 3060 3261 3468 4335 4348 5202 5435 5780 6522 8670 9783 10404 10870 13005 13044 16305 17340 18479 19566 21740 26010 32610 36958 39132 48915 52020 55437 65220 73916 92395 97830 110874 166311 184790 195660 221748 277185 314143 332622 369580 554370 628286 665244 831555 942429 1108740 1256572 1570715 1663110 1884858 2827287 3141430 3326220 3769716 4712145 5654574 6282860 9424290 11309148 14136435 18848580 28272870 56545740