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90315920 = 2451128949
BaseRepresentation
bin1010110001000…
…01110010010000
320021221112011002
411120201302100
5141110102140
612543441132
72144446502
oct530416220
9207845132
1090315920
1146a87762
12262b61a8
1315932996
14bdcdd72
157de0415
hex5621c90

90315920 has 20 divisors (see below), whose sum is σ = 209984700. Its totient is φ = 36126336.

The previous prime is 90315913. The next prime is 90315931. The reversal of 90315920 is 2951309.

It can be written as a sum of positive squares in 2 ways, for example, as 27081616 + 63234304 = 5204^2 + 7952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 564395 + ... + 564554.

It is an arithmetic number, because the mean of its divisors is an integer number (10499235).

Almost surely, 290315920 is an apocalyptic number.

It is an amenable number.

90315920 is an abundant number, since it is smaller than the sum of its proper divisors (119668780).

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

90315920 is a wasteful number, since it uses less digits than its factorization.

90315920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128962 (or 1128956 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 90315920 is about 9503.4688403761. The cubic root of 90315920 is about 448.6642198632.

The spelling of 90315920 in words is "ninety million, three hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1128949 2257898 4515796 5644745 9031592 11289490 18063184 22578980 45157960 90315920