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86112690 = 23523373373
BaseRepresentation
bin1010010000111…
…11100110110010
320000000222101220
411020133212302
5134021101230
612313405510
72063642256
oct510374662
9200028356
1086112690
1144676814
1224a09896
1314ac0771
14b618266
15785ed10
hex521f9b2

86112690 has 64 divisors (see below), whose sum is σ = 221550336. Its totient is φ = 21364992.

The previous prime is 86112679. The next prime is 86112707. The reversal of 86112690 is 9621168.

It is a super-2 number, since 2×861126902 = 14830790758072200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23844 + ... + 27216.

It is an arithmetic number, because the mean of its divisors is an integer number (3461724).

Almost surely, 286112690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86112690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110775168).

86112690 is an abundant number, since it is smaller than the sum of its proper divisors (135437646).

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

86112690 is a wasteful number, since it uses less digits than its factorization.

86112690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 86112690 is about 9279.6923440381. The cubic root of 86112690 is about 441.5932083044.

The spelling of 86112690 in words is "eighty-six million, one hundred twelve thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1702 2553 3373 4255 5106 6746 8510 10119 12765 16865 20238 25530 33730 50595 77579 101190 124801 155158 232737 249602 374403 387895 465474 624005 748806 775790 1163685 1248010 1872015 2327370 2870423 3744030 5740846 8611269 14352115 17222538 28704230 43056345 86112690