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813014136 = 2332116611553
BaseRepresentation
bin110000011101011…
…001110001111000
32002122211101201200
4300131121301320
53131112423021
6212401414200
726101335414
oct6035316170
92078741650
10813014136
11387a1a610
121a833a360
13cc58b66c
1479d95d44
154b598126
hex30759c78

813014136 has 96 divisors (see below), whose sum is σ = 2407270320. Its totient is φ = 245836800.

The previous prime is 813014099. The next prime is 813014149. The reversal of 813014136 is 631410318.

813014136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 522736 + ... + 524288.

Almost surely, 2813014136 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 813014136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203635160).

813014136 is an abundant number, since it is smaller than the sum of its proper divisors (1594256184).

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

813014136 is a wasteful number, since it uses less digits than its factorization.

813014136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 813014136 is about 28513.4027432715. The cubic root of 813014136 is about 933.3245700991.

The spelling of 813014136 in words is "eight hundred thirteen million, fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 661 792 1322 1553 1983 2644 3106 3966 4659 5288 5949 6212 7271 7932 9318 11898 12424 13977 14542 15864 17083 18636 21813 23796 27954 29084 34166 37272 43626 47592 51249 55908 58168 65439 68332 87252 102498 111816 130878 136664 153747 174504 204996 261756 307494 409992 523512 614988 1026533 1229976 2053066 3079599 4106132 6159198 8212264 9238797 11291863 12318396 18477594 22583726 24636792 33875589 36955188 45167452 67751178 73910376 90334904 101626767 135502356 203253534 271004712 406507068 813014136