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89990560 = 2551151131
BaseRepresentation
bin1010101110100…
…10010110100000
320021022222211201
411113102112200
5141014144220
612532450544
72141623102
oct527222640
9207288751
1089990560
1146885270
1226179a54
131584a86a
14bd47572
157d78d0a
hex55d25a0

89990560 has 48 divisors (see below), whose sum is σ = 231934752. Its totient is φ = 32723200.

The previous prime is 89990543. The next prime is 89990561. The reversal of 89990560 is 6509998.

It is a happy number.

It is a super-2 number, since 2×899905602 = 16196601778227200, 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 89990560.

It is not an unprimeable number, because it can be changed into a prime (89990561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23806 + ... + 27325.

It is an arithmetic number, because the mean of its divisors is an integer number (4831974).

Almost surely, 289990560 is an apocalyptic number.

89990560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89990560 is an abundant number, since it is smaller than the sum of its proper divisors (141944192).

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

89990560 is a wasteful number, since it uses less digits than its factorization.

89990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51157 (or 51149 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 89990560 is about 9486.3354357729. The cubic root of 89990560 is about 448.1248057891.

The spelling of 89990560 in words is "eighty-nine million, nine hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 51131 102262 204524 255655 409048 511310 562441 818096 1022620 1124882 1636192 2045240 2249764 2812205 4090480 4499528 5624410 8180960 8999056 11248820 17998112 22497640 44995280 89990560