Base | Representation |
---|---|
bin | 1011100100000… |
… | …01110001110000 |
3 | 20202112010202100 |
4 | 11302001301300 |
5 | 144313004220 |
6 | 13343020400 |
7 | 2255330316 |
oct | 562016160 |
9 | 222463670 |
10 | 97000560 |
11 | 4a832a58 |
12 | 2859a700 |
13 | 171334a7 |
14 | cc500b6 |
15 | 87b0d90 |
hex | 5c81c70 |
97000560 has 120 divisors (see below), whose sum is σ = 327880800. Its totient is φ = 25698816.
The previous prime is 97000537. The next prime is 97000571. The reversal of 97000560 is 6500079.
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 142942 + ... + 143618.
It is an arithmetic number, because the mean of its divisors is an integer number (2732340).
Almost surely, 297000560 is an apocalyptic number.
97000560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 97000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163940400).
97000560 is an abundant number, since it is smaller than the sum of its proper divisors (230880240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97000560 is a wasteful number, since it uses less digits than its factorization.
97000560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 895 (or 886 counting only the distinct ones).
The product of its (nonzero) digits is 1890, while the sum is 27.
The square root of 97000560 is about 9848.8862314477. The cubic root of 97000560 is about 459.4709734226.
The spelling of 97000560 in words is "ninety-seven million, five hundred sixty", and thus it is an aban number.
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