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56768220 = 223251731823
BaseRepresentation
bin1101100010001…
…1011011011100
310221211010100200
43120203123130
5104013040340
65344423500
71256344005
oct330433334
9127733320
1056768220
112a053893
1217017b90
13b9b7c82
14777a1ac
154eb5330
hex36236dc

56768220 has 72 divisors (see below), whose sum is σ = 173287296. Its totient is φ = 15042432.

The previous prime is 56768203. The next prime is 56768233. The reversal of 56768220 is 2286765.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30229 + ... + 32051.

It is an arithmetic number, because the mean of its divisors is an integer number (2406768).

Almost surely, 256768220 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 56768220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86643648).

56768220 is an abundant number, since it is smaller than the sum of its proper divisors (116519076).

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

56768220 is a wasteful number, since it uses less digits than its factorization.

56768220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56768220 is about 7534.4687934850. The cubic root of 56768220 is about 384.3277637769.

The spelling of 56768220 in words is "fifty-six million, seven hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 1823 2076 2595 3114 3460 3646 5190 5469 6228 7292 7785 9115 10380 10938 15570 16407 18230 21876 27345 31140 32814 36460 54690 65628 82035 109380 164070 315379 328140 630758 946137 1261516 1576895 1892274 2838411 3153790 3784548 4730685 5676822 6307580 9461370 11353644 14192055 18922740 28384110 56768220