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130557416 = 231117197443
BaseRepresentation
bin1111100100000…
…10010111101000
3100002200000002212
413302002113220
5231410314131
620542144252
73143501603
oct762022750
9302600085
10130557416
11677727a0
1237882088
1321082412
14134a733a
15b6dda2b
hex7c825e8

130557416 has 64 divisors (see below), whose sum is σ = 284834880. Its totient is φ = 55444480.

The previous prime is 130557319. The next prime is 130557431. The reversal of 130557416 is 614755031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294491 + ... + 294933.

It is an arithmetic number, because the mean of its divisors is an integer number (4450545).

Almost surely, 2130557416 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 130557416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142417440).

130557416 is an abundant number, since it is smaller than the sum of its proper divisors (154277464).

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

130557416 is a wasteful number, since it uses less digits than its factorization.

130557416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 130557416 is about 11426.1724124923. The cubic root of 130557416 is about 507.3027095979.

The spelling of 130557416 in words is "one hundred thirty million, five hundred fifty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 197 374 394 443 748 788 886 1496 1576 1772 2167 3349 3544 4334 4873 6698 7531 8668 9746 13396 15062 17336 19492 26792 30124 36839 38984 60248 73678 82841 87271 147356 165682 174542 294712 331364 349084 662728 698168 959981 1483607 1919962 2967214 3839924 5934428 7679848 11868856 16319677 32639354 65278708 130557416