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97135632 = 24331120441
BaseRepresentation
bin1011100101000…
…10110000010000
320202210000001000
411302202300100
5144331320012
613345542000
72256432156
oct562426020
9222700030
1097135632
114a915490
1228644900
131717cb09
14cc873d6
1587daddc
hex5ca2c10

97135632 has 80 divisors (see below), whose sum is σ = 304176960. Its totient is φ = 29433600.

The previous prime is 97135609. The next prime is 97135651. The reversal of 97135632 is 23653179.

97135632 is a `hidden beast` number, since 9 + 7 + 13 + 5 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5469 + ... + 14972.

It is an arithmetic number, because the mean of its divisors is an integer number (3802212).

Almost surely, 297135632 is an apocalyptic number.

It is an amenable number.

97135632 is an abundant number, since it is smaller than the sum of its proper divisors (207041328).

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

97135632 is a wasteful number, since it uses less digits than its factorization.

97135632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20469 (or 20457 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 97135632 is about 9855.7410680273. The cubic root of 97135632 is about 459.6841435971.

The spelling of 97135632 in words is "ninety-seven million, one hundred thirty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 20441 40882 61323 81764 122646 163528 183969 224851 245292 327056 367938 449702 490584 551907 674553 735876 899404 981168 1103814 1349106 1471752 1798808 2023659 2207628 2698212 2943504 3597616 4047318 4415256 5396424 6070977 8094636 8830512 10792848 12141954 16189272 24283908 32378544 48567816 97135632