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837130086 = 233131319103
BaseRepresentation
bin110001111001011…
…001011101100110
32011100012121121000
4301321121131212
53203301130321
6215022334130
726513326332
oct6171313546
92140177530
10837130086
1139a5a1251
121b442a346
13104583360
147d2727c2
154d75d826
hex31e59766

837130086 has 64 divisors (see below), whose sum is σ = 2018903040. Its totient is φ = 255584160.

The previous prime is 837130067. The next prime is 837130097. The reversal of 837130086 is 680031738.

It is a self number, because there is not a number n which added to its sum of digits gives 837130086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87411 + ... + 96513.

It is an arithmetic number, because the mean of its divisors is an integer number (31545360).

Almost surely, 2837130086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 837130086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009451520).

837130086 is an abundant number, since it is smaller than the sum of its proper divisors (1181772954).

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

837130086 is a wasteful number, since it uses less digits than its factorization.

837130086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 837130086 is about 28933.2004106010. The cubic root of 837130086 is about 942.4630163237.

The spelling of 837130086 in words is "eight hundred thirty-seven million, one hundred thirty thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 131 234 262 351 393 702 786 1179 1703 2358 3406 3537 5109 7074 9103 10218 15327 18206 27309 30654 45981 54618 81927 91962 118339 163854 236678 245781 355017 491562 710034 1065051 1192493 2130102 2384986 3195153 3577479 6390306 7154958 10732437 15502409 21464874 31004818 32197311 46507227 64394622 93014454 139521681 279043362 418565043 837130086