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130715136 = 2932191493
BaseRepresentation
bin1111100101010…
…00111000000000
3100002222000110100
413302220320000
5231430341021
620545402400
73145026456
oct762507000
9302860410
10130715136
1167870242
1237939400
1321109146
14135089d6
15b720626
hex7ca8e00

130715136 has 120 divisors (see below), whose sum is σ = 397374120. Its totient is φ = 41250816.

The previous prime is 130715129. The next prime is 130715147. The reversal of 130715136 is 631517031.

It is a congruent number.

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, 86806 + ... + 88298.

It is an arithmetic number, because the mean of its divisors is an integer number (3311451).

Almost surely, 2130715136 is an apocalyptic number.

130715136 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 130715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198687060).

130715136 is an abundant number, since it is smaller than the sum of its proper divisors (266658984).

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

130715136 is a wasteful number, since it uses less digits than its factorization.

130715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130715136 is about 11433.0720281121. The cubic root of 130715136 is about 507.5069098851.

The spelling of 130715136 in words is "one hundred thirty million, seven hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1493 1536 1824 2304 2432 2736 2986 3648 4479 4608 4864 5472 5972 7296 8958 9728 10944 11944 13437 14592 17916 21888 23888 26874 28367 29184 35832 43776 47776 53748 56734 71664 85101 87552 95552 107496 113468 143328 170202 191104 214992 226936 255303 286656 340404 382208 429984 453872 510606 573312 680808 764416 859968 907744 1021212 1146624 1361616 1719936 1815488 2042424 2293248 2723232 3439872 3630976 4084848 5446464 6879744 7261952 8169696 10892928 14523904 16339392 21785856 32678784 43571712 65357568 130715136