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56610240 = 2635109541
BaseRepresentation
bin1101011111110…
…0110111000000
310221112002122120
43113330313000
5103443011430
65341204240
71255115301
oct327746700
9127462576
1056610240
1129a56125
1216b60680
13b9610ab
1477387a8
154e83610
hex35fcdc0

56610240 has 112 divisors (see below), whose sum is σ = 181721760. Its totient is φ = 14929920.

The previous prime is 56610227. The next prime is 56610241. The reversal of 56610240 is 4201665.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56610240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56610241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104370 + ... + 104910.

Almost surely, 256610240 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 56610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90860880).

56610240 is an abundant number, since it is smaller than the sum of its proper divisors (125111520).

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

56610240 is a wasteful number, since it uses less digits than its factorization.

56610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56610240 is about 7523.9776714182. The cubic root of 56610240 is about 383.9709179364.

The spelling of 56610240 in words is "fifty-six million, six hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 541 545 654 872 960 1082 1090 1308 1623 1635 1744 2164 2180 2616 2705 3246 3270 3488 4328 4360 5232 5410 6492 6540 6976 8115 8656 8720 10464 10820 12984 13080 16230 17312 17440 20928 21640 25968 26160 32460 34624 34880 43280 51936 52320 58969 64920 86560 103872 104640 117938 129840 173120 176907 235876 259680 294845 353814 471752 519360 589690 707628 884535 943504 1179380 1415256 1769070 1887008 2358760 2830512 3538140 3774016 4717520 5661024 7076280 9435040 11322048 14152560 18870080 28305120 56610240