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90204960 = 2535187927
BaseRepresentation
bin1010110000001…
…10101100100000
320021201212221110
411120012230200
5141043024320
612541223320
72143505136
oct530065440
9207655843
1090204960
1146a1135a
1226261b40
13158c4321
14bda1756
157dbc5e0
hex5606b20

90204960 has 48 divisors (see below), whose sum is σ = 284147136. Its totient is φ = 24054528.

The previous prime is 90204953. The next prime is 90204967. The reversal of 90204960 is 6940209.

It is an interprime number because it is at equal distance from previous prime (90204953) and next prime (90204967).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90204967) 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, 93484 + ... + 94443.

It is an arithmetic number, because the mean of its divisors is an integer number (5919732).

Almost surely, 290204960 is an apocalyptic number.

It is an amenable number.

90204960 is an abundant number, since it is smaller than the sum of its proper divisors (193942176).

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

90204960 is a wasteful number, since it uses less digits than its factorization.

90204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187945 (or 187937 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90204960 is about 9497.6291778528. The cubic root of 90204960 is about 448.4804051548.

The spelling of 90204960 in words is "ninety million, two hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 187927 375854 563781 751708 939635 1127562 1503416 1879270 2255124 2818905 3006832 3758540 4510248 5637810 6013664 7517080 9020496 11275620 15034160 18040992 22551240 30068320 45102480 90204960