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956906136 = 233437107373
BaseRepresentation
bin111001000010010…
…011101010011000
32110200120212110000
4321002103222120
53424431444021
6234541453000
732466365544
oct7102235230
92420525400
10956906136
1145116a81a
12228571160
1312332c364
1491130a24
155901cb26
hex39093a98

956906136 has 160 divisors (see below), whose sum is σ = 2785836240. Its totient is φ = 306623232.

The previous prime is 956906131. The next prime is 956906143. The reversal of 956906136 is 631609659.

It is a super-2 number, since 2×9569061362 = 1831338706228900992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 956906091 and 956906100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956906131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2565246 + ... + 2565618.

Almost surely, 2956906136 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 956906136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392918120).

956906136 is an abundant number, since it is smaller than the sum of its proper divisors (1828930104).

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

956906136 is a wasteful number, since it uses less digits than its factorization.

956906136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 956906136 is about 30933.8994632103. The cubic root of 956906136 is about 985.4239497064.

The spelling of 956906136 in words is "nine hundred fifty-six million, nine hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 107 108 111 148 162 214 216 222 296 321 324 333 373 428 444 642 648 666 746 856 888 963 999 1119 1284 1332 1492 1926 1998 2238 2568 2664 2889 2984 2997 3357 3852 3959 3996 4476 5778 5994 6714 7704 7918 7992 8667 8952 10071 11556 11877 11988 13428 13801 15836 17334 20142 23112 23754 23976 26856 27602 30213 31672 34668 35631 39911 40284 41403 47508 55204 60426 69336 71262 79822 80568 82806 95016 106893 110408 119733 120852 124209 142524 159644 165612 213786 239466 241704 248418 285048 319288 320679 331224 359199 372627 427572 478932 496836 641358 718398 745254 855144 957864 993672 1077597 1117881 1282716 1436796 1476707 1490508 2155194 2235762 2565432 2873592 2953414 2981016 3232791 4310388 4430121 4471524 5906828 6465582 8620776 8860242 8943048 11813656 12931164 13290363 17720484 25862328 26580726 35440968 39871089 53161452 79742178 106322904 119613267 159484356 239226534 318968712 478453068 956906136