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130912992 = 2532764937
BaseRepresentation
bin1111100110110…
…01001011100000
3100010100001212100
413303121023200
5232003203432
620553530400
73146512350
oct763311340
9303301770
10130912992
1167995961
1237a13a00
1321178212
141355ab60
15b75e07c
hex7cd92e0

130912992 has 72 divisors (see below), whose sum is σ = 425473776. Its totient is φ = 37403136.

The previous prime is 130912913. The next prime is 130913053. The reversal of 130912992 is 299219031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1309129922 = 34276422948784128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30453 + ... + 34484.

It is an arithmetic number, because the mean of its divisors is an integer number (5909358).

Almost surely, 2130912992 is an apocalyptic number.

130912992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130912992 is an abundant number, since it is smaller than the sum of its proper divisors (294560784).

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

130912992 is a wasteful number, since it uses less digits than its factorization.

130912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64960 (or 64949 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 130912992 is about 11441.7215487880. The cubic root of 130912992 is about 507.7628421602.

The spelling of 130912992 in words is "one hundred thirty million, nine hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 64937 129874 194811 259748 389622 454559 519496 584433 779244 909118 1038992 1168866 1363677 1558488 1818236 2077984 2337732 2727354 3116976 3636472 4091031 4675464 5454708 6233952 7272944 8182062 9350928 10909416 14545888 16364124 18701856 21818832 32728248 43637664 65456496 130912992