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90137016 = 2333616841
BaseRepresentation
bin1010101111101…
…10000110111000
320021121102202000
411113312012320
5141033341031
612535541000
72143103064
oct527660670
9207542660
1090137016
1146975302
122622a760
131589c418
14bd84aa4
157da73e6
hex55f61b8

90137016 has 64 divisors (see below), whose sum is σ = 254522400. Its totient is φ = 29548800.

The previous prime is 90136999. The next prime is 90137027. The reversal of 90137016 is 61073109.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9756 + ... + 16596.

Almost surely, 290137016 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 90137016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127261200).

90137016 is an abundant number, since it is smaller than the sum of its proper divisors (164385384).

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

90137016 is a wasteful number, since it uses less digits than its factorization.

90137016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 90137016 is about 9494.0516114038. The cubic root of 90137016 is about 448.3677756999.

The spelling of 90137016 in words is "ninety million, one hundred thirty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 6841 13176 13682 20523 27364 41046 54728 61569 82092 123138 164184 184707 246276 369414 417301 492552 738828 834602 1251903 1477656 1669204 2503806 3338408 3755709 5007612 7511418 10015224 11267127 15022836 22534254 30045672 45068508 90137016