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90135297 = 32719257293
BaseRepresentation
bin1010101111101…
…01101100000001
320021121100101100
411113311230001
5141033312142
612535525013
72143065060
oct527655401
9207540340
1090135297
1146973a8a
1226229769
131589b6c5
14bd841d7
157da6b4c
hex55f5b01

90135297 has 48 divisors (see below), whose sum is σ = 157772160. Its totient is φ = 48439296.

The previous prime is 90135289. The next prime is 90135313. The reversal of 90135297 is 79253109.

It is not a de Polignac number, because 90135297 - 23 = 90135289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90135797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307483 + ... + 307775.

It is an arithmetic number, because the mean of its divisors is an integer number (3286920).

Almost surely, 290135297 is an apocalyptic number.

It is an amenable number.

90135297 is a deficient number, since it is larger than the sum of its proper divisors (67636863).

90135297 is a wasteful number, since it uses less digits than its factorization.

90135297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 90135297 is about 9493.9610806028. The cubic root of 90135297 is about 448.3649254128.

The spelling of 90135297 in words is "ninety million, one hundred thirty-five thousand, two hundred ninety-seven".

Divisors: 1 3 7 9 19 21 57 63 133 171 257 293 399 771 879 1197 1799 2051 2313 2637 4883 5397 5567 6153 14649 16191 16701 18459 34181 38969 43947 50103 75301 102543 116907 225903 307629 350721 527107 677709 1430719 1581321 4292157 4743963 10015033 12876471 30045099 90135297