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90288560 = 2454127527
BaseRepresentation
bin1010110000110…
…11000110110000
320021220010121202
411120123012300
5141103213220
612543110332
72144303645
oct530330660
9207803552
1090288560
1146a6914a
12262a23a8
13159233ab
14bdc3dcc
157dd7275
hex561b1b0

90288560 has 40 divisors (see below), whose sum is σ = 215048736. Its totient is φ = 35233280.

The previous prime is 90288557. The next prime is 90288563. The reversal of 90288560 is 6588209.

It is an interprime number because it is at equal distance from previous prime (90288557) and next prime (90288563).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (90288563) 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, 10484 + ... + 17043.

Almost surely, 290288560 is an apocalyptic number.

It is an amenable number.

90288560 is an abundant number, since it is smaller than the sum of its proper divisors (124760176).

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

90288560 is a wasteful number, since it uses less digits than its factorization.

90288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27581 (or 27575 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 90288560 is about 9502.0292569535. The cubic root of 90288560 is about 448.6189096793.

The spelling of 90288560 in words is "ninety million, two hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 27527 55054 110108 137635 220216 275270 440432 550540 1101080 1128607 2202160 2257214 4514428 5643035 9028856 11286070 18057712 22572140 45144280 90288560