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13058136 = 23327131993
BaseRepresentation
bin110001110100…
…000001011000
3220120102101200
4301310001120
511320330021
61143514200
7215664240
oct61640130
926512350
1013058136
117409853
124458960
132922810
141a3cb20
15122e126
hexc74058

13058136 has 96 divisors (see below), whose sum is σ = 43548960. Its totient is φ = 3442176.

The previous prime is 13058119. The next prime is 13058191. The reversal of 13058136 is 63185031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5556 + ... + 7548.

It is an arithmetic number, because the mean of its divisors is an integer number (453635).

Almost surely, 213058136 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 13058136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774480).

13058136 is an abundant number, since it is smaller than the sum of its proper divisors (30490824).

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

13058136 is a wasteful number, since it uses less digits than its factorization.

13058136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13058136 is about 3613.6042948834. The cubic root of 13058136 is about 235.4834532034.

The spelling of 13058136 in words is "thirteen million, fifty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 1993 2184 3276 3986 5979 6552 7972 11958 13951 15944 17937 23916 25909 27902 35874 41853 47832 51818 55804 71748 77727 83706 103636 111608 125559 143496 155454 167412 181363 207272 233181 251118 310908 334824 362726 466362 502236 544089 621816 725452 932724 1004472 1088178 1450904 1632267 1865448 2176356 3264534 4352712 6529068 13058136