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97129360 = 2451214117
BaseRepresentation
bin1011100101000…
…01001110010000
320202202200102201
411302201032100
5144331114420
613345452544
72256404656
oct562411620
9222680381
1097129360
114a9107a9
1228641154
1317179cc3
14cc84dd6
1587d910a
hex5ca1390

97129360 has 20 divisors (see below), whose sum is σ = 225825948. Its totient is φ = 38851712.

The previous prime is 97129327. The next prime is 97129397. The reversal of 97129360 is 6392179.

It can be written as a sum of positive squares in 2 ways, for example, as 18558864 + 78570496 = 4308^2 + 8864^2 .

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

It is a super-2 number, since 2×971293602 = 18868225148019200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 606979 + ... + 607138.

Almost surely, 297129360 is an apocalyptic number.

It is an amenable number.

97129360 is an abundant number, since it is smaller than the sum of its proper divisors (128696588).

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

97129360 is a wasteful number, since it uses less digits than its factorization.

97129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214130 (or 1214124 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 97129360 is about 9855.4228727133. The cubic root of 97129360 is about 459.6742495244.

The spelling of 97129360 in words is "ninety-seven million, one hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1214117 2428234 4856468 6070585 9712936 12141170 19425872 24282340 48564680 97129360