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130087656 = 233231167349
BaseRepresentation
bin1111100000011…
…11101011101000
3100001210010201100
413300033223220
5231300301111
620524121400
73136504206
oct760175350
9301703640
10130087656
1167481866
1237696260
1320c4965a
14133c4076
15b649756
hex7c0fae8

130087656 has 96 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 41592960.

The previous prime is 130087627. The next prime is 130087667. The reversal of 130087656 is 656780031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130087656.

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, 372570 + ... + 372918.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2130087656 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 130087656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

130087656 is an abundant number, since it is smaller than the sum of its proper divisors (236824344).

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

130087656 is a wasteful number, since it uses less digits than its factorization.

130087656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 130087656 is about 11405.5975731217. The cubic root of 130087656 is about 506.6935346632.

The spelling of 130087656 in words is "one hundred thirty million, eighty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 167 186 248 279 334 349 372 501 558 668 698 744 1002 1047 1116 1336 1396 1503 2004 2094 2232 2792 3006 3141 4008 4188 5177 6012 6282 8376 10354 10819 12024 12564 15531 20708 21638 25128 31062 32457 41416 43276 46593 58283 62124 64914 86552 93186 97371 116566 124248 129828 174849 186372 194742 233132 259656 349698 372744 389484 466264 524547 699396 778968 1049094 1398792 1806773 2098188 3613546 4196376 5420319 7227092 10840638 14454184 16260957 21681276 32521914 43362552 65043828 130087656