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130167492 = 223713199599
BaseRepresentation
bin1111100001000…
…11001011000100
3100001221012020020
413300203023010
5231310324432
620525535140
73140256030
oct760431304
9301835206
10130167492
1167526844
12377144b0
1320c76ab0
14134051c0
15b66322c
hex7c232c4

130167492 has 96 divisors (see below), whose sum is σ = 376320000. Its totient is φ = 34100352.

The previous prime is 130167469. The next prime is 130167509. The reversal of 130167492 is 294761031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217009 + ... + 217607.

It is an arithmetic number, because the mean of its divisors is an integer number (3920000).

Almost surely, 2130167492 is an apocalyptic number.

130167492 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 130167492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160000).

130167492 is an abundant number, since it is smaller than the sum of its proper divisors (246152508).

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

130167492 is a wasteful number, since it uses less digits than its factorization.

130167492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 130167492 is about 11409.0968967750. The cubic root of 130167492 is about 506.7971676385.

The spelling of 130167492 in words is "one hundred thirty million, one hundred sixty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 199 273 364 398 546 597 599 796 1092 1194 1198 1393 1797 2388 2396 2587 2786 3594 4179 4193 5174 5572 7188 7761 7787 8358 8386 10348 12579 15522 15574 16716 16772 18109 23361 25158 31044 31148 36218 46722 50316 54327 54509 72436 93444 108654 109018 119201 163527 217308 218036 238402 327054 357603 476804 654108 715206 834407 1430412 1549613 1668814 2503221 3099226 3337628 4648839 5006442 6198452 9297678 10012884 10847291 18595356 21694582 32541873 43389164 65083746 130167492