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90180486 = 23311157967
BaseRepresentation
bin1010110000000…
…00101110000110
320021200122101000
411120000232012
5141041233421
612540514130
72143343604
oct530005606
9207618330
1090180486
11469a4a30
122624b946
13158b6146
14bd96874
157db5226
hex5600b86

90180486 has 64 divisors (see below), whose sum is σ = 220239360. Its totient is φ = 27125280.

The previous prime is 90180473. The next prime is 90180511. The reversal of 90180486 is 68408109.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90180486.

It is a congruent number.

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, 92775 + ... + 93741.

It is an arithmetic number, because the mean of its divisors is an integer number (3441240).

Almost surely, 290180486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90180486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110119680).

90180486 is an abundant number, since it is smaller than the sum of its proper divisors (130058874).

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

90180486 is a wasteful number, since it uses less digits than its factorization.

90180486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90180486 is about 9496.3406636451. The cubic root of 90180486 is about 448.4398415973.

The spelling of 90180486 in words is "ninety million, one hundred eighty thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 942 967 1413 1727 1934 2826 2901 3454 4239 5181 5802 8478 8703 10362 10637 15543 17406 21274 26109 31086 31911 46629 52218 63822 93258 95733 151819 191466 287199 303638 455457 574398 910914 1366371 1670009 2732742 3340018 4099113 5010027 8198226 10020054 15030081 30060162 45090243 90180486