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130936992 = 2531780231
BaseRepresentation
bin1111100110111…
…11000010100000
3100010101021210020
413303133002200
5232004440432
620554233440
73146642334
oct763370240
9303337706
10130936992
1167a0199a
1237a25880
1321186114
14135657c4
15b76622c
hex7cdf0a0

130936992 has 48 divisors (see below), whose sum is σ = 363932352. Its totient is φ = 41077760.

The previous prime is 130936979. The next prime is 130936997. The reversal of 130936992 is 299639031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (130936997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38484 + ... + 41747.

It is an arithmetic number, because the mean of its divisors is an integer number (7581924).

Almost surely, 2130936992 is an apocalyptic number.

130936992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130936992 is an abundant number, since it is smaller than the sum of its proper divisors (232995360).

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

130936992 is a wasteful number, since it uses less digits than its factorization.

130936992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80261 (or 80253 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 130936992 is about 11442.7702939454. The cubic root of 130936992 is about 507.7938692911.

The spelling of 130936992 in words is "one hundred thirty million, nine hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 80231 160462 240693 320924 481386 641848 962772 1283696 1363927 1925544 2567392 2727854 3851088 4091781 5455708 7702176 8183562 10911416 16367124 21822832 32734248 43645664 65468496 130936992