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130760736 = 25317194217
BaseRepresentation
bin1111100101101…
…00000000100000
3100010001100000020
413302310000200
5231433320421
620550353440
73145306431
oct762640040
9303040006
10130760736
11678a1527
123795b880
1321123b22
141351b488
15b72ddc6
hex7cb4020

130760736 has 96 divisors (see below), whose sum is σ = 382656960. Its totient is φ = 38854656.

The previous prime is 130760723. The next prime is 130760737. The reversal of 130760736 is 637067031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 130760697 and 130760706.

It is not an unprimeable number, because it can be changed into a prime (130760737) 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, 28900 + ... + 33116.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2130760736 is an apocalyptic number.

130760736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130760736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191328480).

130760736 is an abundant number, since it is smaller than the sum of its proper divisors (251896224).

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

130760736 is a wasteful number, since it uses less digits than its factorization.

130760736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 130760736 is about 11435.0660688953. The cubic root of 130760736 is about 507.5659176513.

The spelling of 130760736 in words is "one hundred thirty million, seven hundred sixty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 4217 5168 7752 8434 10336 12651 15504 16868 25302 31008 33736 50604 67472 71689 80123 101208 134944 143378 160246 202416 215067 240369 286756 320492 404832 430134 480738 573512 640984 860268 961476 1147024 1281968 1362091 1720536 1922952 2294048 2563936 2724182 3441072 3845904 4086273 5448364 6882144 7691808 8172546 10896728 16345092 21793456 32690184 43586912 65380368 130760736