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130967808 = 283315501
BaseRepresentation
bin1111100111001…
…10100100000000
3100010102212001120
413303212210000
5232011432213
620555032240
73150131226
oct763464400
9303385046
10130967808
1167a23064
1237a3b680
132119715a
1413572b16
15b770423
hex7ce6900

130967808 has 72 divisors (see below), whose sum is σ = 359874816. Its totient is φ = 42240000.

The previous prime is 130967789. The next prime is 130967821. The reversal of 130967808 is 808769031.

It is a self number, because there is not a number n which added to its sum of digits gives 130967808.

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, 21058 + ... + 26558.

Almost surely, 2130967808 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 130967808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179937408).

130967808 is an abundant number, since it is smaller than the sum of its proper divisors (228907008).

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

130967808 is an equidigital number, since it uses as much as digits as its factorization.

130967808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 130967808 is about 11444.1167418023. The cubic root of 130967808 is about 507.8337025681.

The spelling of 130967808 in words is "one hundred thirty million, nine hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5501 5952 7936 11002 11904 16503 22004 23808 33006 44008 66012 88016 132024 170531 176032 264048 341062 352064 511593 528096 682124 704128 1023186 1056192 1364248 1408256 2046372 2112384 2728496 4092744 4224768 5456992 8185488 10913984 16370976 21827968 32741952 43655936 65483904 130967808