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90157086 = 23217377963
BaseRepresentation
bin1010101111110…
…11000000011110
320021122110021100
411113323000132
5141040011321
612540213530
72143215435
oct527730036
9207573240
1090157086
1146989398
122623a2a6
13158a85b6
14bd8c11c
157dad326
hex55fb01e

90157086 has 48 divisors (see below), whose sum is σ = 212447664. Its totient is φ = 27516672.

The previous prime is 90157057. The next prime is 90157127. The reversal of 90157086 is 68075109.

90157086 is a `hidden beast` number, since 9 + 0 + 1 + 570 + 86 = 666.

It is a super-2 number, since 2×901570862 = 16256600312022792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90157086.

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, 7341 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (4425993).

Almost surely, 290157086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90157086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106223832).

90157086 is an abundant number, since it is smaller than the sum of its proper divisors (122290578).

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

90157086 is a wasteful number, since it uses less digits than its factorization.

90157086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 90157086 is about 9495.1085301854. The cubic root of 90157086 is about 448.4010512392.

The spelling of 90157086 in words is "ninety million, one hundred fifty-seven thousand, eighty-six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 7963 11322 15926 23889 47778 71667 135371 143334 270742 294631 406113 589262 812226 883893 1218339 1767786 2436678 2651679 5008727 5303358 10017454 15026181 30052362 45078543 90157086