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130851968 = 2713223263
BaseRepresentation
bin1111100110010…
…10010010000000
3100010012222011012
413303022102000
5231444230333
620552340052
73146136422
oct763122200
9303188135
10130851968
1167954025
12379a4628
1321156500
1413542812
15b74ae48
hex7cca480

130851968 has 96 divisors (see below), whose sum is σ = 295669440. Its totient is φ = 57547776.

The previous prime is 130851953. The next prime is 130851971. The reversal of 130851968 is 869158031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497405 + ... + 497667.

It is an arithmetic number, because the mean of its divisors is an integer number (3079890).

Almost surely, 2130851968 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 130851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147834720).

130851968 is an abundant number, since it is smaller than the sum of its proper divisors (164817472).

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

130851968 is a wasteful number, since it uses less digits than its factorization.

130851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 130851968 is about 11439.0545063829. The cubic root of 130851968 is about 507.6839334259.

The spelling of 130851968 in words is "one hundred thirty million, eight hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 263 299 338 368 416 526 598 676 736 832 1052 1196 1352 1472 1664 2104 2392 2704 2944 3419 3887 4208 4784 5408 6049 6838 7774 8416 9568 10816 12098 13676 15548 16832 19136 21632 24196 27352 31096 33664 38272 44447 48392 54704 62192 78637 88894 96784 109408 124384 157274 177788 193568 218816 248768 314548 355576 387136 437632 497536 629096 711152 774272 1022281 1258192 1422304 2044562 2516384 2844608 4089124 5032768 5689216 8178248 10065536 16356496 32712992 65425984 130851968