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130231296 = 21032131087
BaseRepresentation
bin1111100001100…
…10110000000000
3100002001102202100
413300302300000
5231314400141
620531150400
73140643036
oct760626000
9302042670
10130231296
116756a778
1237745400
1320c99b50
1413420556
15b6770b6
hex7c32c00

130231296 has 132 divisors (see below), whose sum is σ = 405338752. Its totient is φ = 40034304.

The previous prime is 130231289. The next prime is 130231307. The reversal of 130231296 is 692132031.

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, 119265 + ... + 120351.

Almost surely, 2130231296 is an apocalyptic number.

130231296 is a gapful number since it is divisible by the number (16) 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 130231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202669376).

130231296 is an abundant number, since it is smaller than the sum of its proper divisors (275107456).

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

130231296 is a wasteful number, since it uses less digits than its factorization.

130231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130231296 is about 11411.8927439755. The cubic root of 130231296 is about 506.8799594429.

The spelling of 130231296 in words is "one hundred thirty million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1087 1152 1248 1536 1664 1872 2174 2304 2496 3072 3261 3328 3744 4348 4608 4992 6522 6656 7488 8696 9216 9783 9984 13044 13312 14131 14976 17392 19566 19968 26088 28262 29952 34784 39132 39936 42393 52176 56524 59904 69568 78264 84786 104352 113048 119808 127179 139136 156528 169572 208704 226096 254358 278272 313056 339144 417408 452192 508716 556544 626112 678288 834816 904384 1017432 1113088 1252224 1356576 1669632 1808768 2034864 2504448 2713152 3339264 3617536 4069728 5008896 5426304 7235072 8139456 10017792 10852608 14470144 16278912 21705216 32557824 43410432 65115648 130231296