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130513656 = 23372138537
BaseRepresentation
bin1111100011101…
…11101011111000
3100002120210002010
413301313223320
5231402414111
620541205520
73143230200
oct761675370
9302523063
10130513656
1167742929
12378608a0
1321068520
1413495400
15b6d0aa6
hex7c77af8

130513656 has 96 divisors (see below), whose sum is σ = 408799440. Its totient is φ = 34417152.

The previous prime is 130513651. The next prime is 130513667. The reversal of 130513656 is 656315031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130513651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11020 + ... + 19556.

Almost surely, 2130513656 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 130513656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204399720).

130513656 is an abundant number, since it is smaller than the sum of its proper divisors (278285784).

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

130513656 is a wasteful number, since it uses less digits than its factorization.

130513656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 130513656 is about 11424.2573500425. The cubic root of 130513656 is about 507.2460243275.

Adding to 130513656 its reverse (656315031), we get a palindrome (786828687).

The spelling of 130513656 in words is "one hundred thirty million, five hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 8537 15288 17074 25611 34148 51222 59759 68296 102444 110981 119518 179277 204888 221962 239036 332943 358554 418313 443924 478072 665886 717108 776867 836626 887848 1254939 1331772 1434216 1553734 1673252 2330601 2509878 2663544 3107468 3346504 4661202 5019756 5438069 6214936 9322404 10039512 10876138 16314207 18644808 21752276 32628414 43504552 65256828 130513656