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130827996 = 2232131914713
BaseRepresentation
bin1111100110001…
…00011011011100
3100010011202021100
413303010123130
5231442443441
620552033100
73146006505
oct763043334
9303152240
10130827996
1167938012
1237992790
1321148620
1413537bac
15b743cb6
hex7cc46dc

130827996 has 72 divisors (see below), whose sum is σ = 374912720. Its totient is φ = 38133504.

The previous prime is 130827989. The next prime is 130828001. The reversal of 130827996 is 699728031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1536 + ... + 16248.

Almost surely, 2130827996 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 130827996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187456360).

130827996 is an abundant number, since it is smaller than the sum of its proper divisors (244084724).

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

130827996 is a wasteful number, since it uses less digits than its factorization.

130827996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 130827996 is about 11438.0066445163. The cubic root of 130827996 is about 507.6529290712.

The spelling of 130827996 in words is "one hundred thirty million, eight hundred twenty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 14713 29426 44139 58852 88278 132417 176556 191269 264834 279547 382538 529668 559094 573807 765076 838641 1118188 1147614 1677282 1721421 2295228 2515923 3354564 3442842 3634111 5031846 6885684 7268222 10063692 10902333 14536444 21804666 32706999 43609332 65413998 130827996