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130339272 = 23371747971
BaseRepresentation
bin1111100010011…
…01000111001000
3100002020220212110
413301031013020
5231331324042
620533342320
73141602610
oct761150710
9302226773
10130339272
1167633908
12377979a0
132100703b
141344ba40
15b69909c
hex7c4d1c8

130339272 has 128 divisors (see below), whose sum is σ = 403107840. Its totient is φ = 34268160.

The previous prime is 130339247. The next prime is 130339301. The reversal of 130339272 is 272933031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133747 + ... + 134717.

It is an arithmetic number, because the mean of its divisors is an integer number (3149280).

Almost surely, 2130339272 is an apocalyptic number.

130339272 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 130339272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201553920).

130339272 is an abundant number, since it is smaller than the sum of its proper divisors (272768568).

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

130339272 is a wasteful number, since it uses less digits than its factorization.

130339272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 130339272 is about 11416.6226179199. The cubic root of 130339272 is about 507.0200070689.

The spelling of 130339272 in words is "one hundred thirty million, three hundred thirty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 47 51 56 68 84 94 102 119 136 141 168 188 204 238 282 329 357 376 408 476 564 658 714 799 952 971 987 1128 1316 1428 1598 1942 1974 2397 2632 2856 2913 3196 3884 3948 4794 5593 5826 6392 6797 7768 7896 9588 11186 11652 13594 16507 16779 19176 20391 22372 23304 27188 33014 33558 40782 44744 45637 49521 54376 66028 67116 81564 91274 99042 115549 132056 134232 136911 163128 182548 198084 231098 273822 319459 346647 365096 396168 462196 547644 638918 693294 775829 924392 958377 1095288 1277836 1386588 1551658 1916754 2327487 2555672 2773176 3103316 3833508 4654974 5430803 6206632 7667016 9309948 10861606 16292409 18619896 21723212 32584818 43446424 65169636 130339272