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130760832 = 2732291487
BaseRepresentation
bin1111100101101…
…00000010000000
3100010001100010210
413302310002000
5231433321312
620550354120
73145306626
oct762640200
9303040123
10130760832
11678a1604
123795b940
1321123b97
141351b516
15b72de3c
hex7cb4080

130760832 has 64 divisors (see below), whose sum is σ = 349084800. Its totient is φ = 43367424.

The previous prime is 130760827. The next prime is 130760843. The reversal of 130760832 is 238067031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 130760832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87193 + ... + 88679.

It is an arithmetic number, because the mean of its divisors is an integer number (5454450).

Almost surely, 2130760832 is an apocalyptic number.

130760832 is a gapful number since it is divisible by the number (12) 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 130760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174542400).

130760832 is an abundant number, since it is smaller than the sum of its proper divisors (218323968).

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

130760832 is a wasteful number, since it uses less digits than its factorization.

130760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 130760832 is about 11435.0702665091. The cubic root of 130760832 is about 507.5660418637.

The spelling of 130760832 in words is "one hundred thirty million, seven hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 384 458 687 916 1374 1487 1832 2748 2974 3664 4461 5496 5948 7328 8922 10992 11896 14656 17844 21984 23792 29312 35688 43968 47584 71376 87936 95168 142752 190336 285504 340523 571008 681046 1021569 1362092 2043138 2724184 4086276 5448368 8172552 10896736 16345104 21793472 32690208 43586944 65380416 130760832