Base | Representation |
---|---|
bin | 1011100100000… |
… | …01101001100000 |
3 | 20202112010000210 |
4 | 11302001221200 |
5 | 144313000112 |
6 | 13343014120 |
7 | 2255325633 |
oct | 562015140 |
9 | 222463023 |
10 | 97000032 |
11 | 4a832618 |
12 | 2859a340 |
13 | 1713318c |
14 | cc4dc1a |
15 | 87b0b3c |
hex | 5c81a60 |
97000032 has 48 divisors (see below), whose sum is σ = 257508720. Its totient is φ = 31967232.
The previous prime is 97000021. The next prime is 97000037. The reversal of 97000032 is 23000079.
It is a tau number, because it is divible by the number of its divisors (48).
It is a junction number, because it is equal to n+sod(n) for n = 96999972 and 97000008.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97000037) 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, 2868 + ... + 14220.
It is an arithmetic number, because the mean of its divisors is an integer number (5364765).
Almost surely, 297000032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 97000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128754360).
97000032 is an abundant number, since it is smaller than the sum of its proper divisors (160508688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97000032 is a wasteful number, since it uses less digits than its factorization.
97000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11455 (or 11447 counting only the distinct ones).
The product of its (nonzero) digits is 378, while the sum is 21.
The square root of 97000032 is about 9848.8594263498. The cubic root of 97000032 is about 459.4701397466.
The spelling of 97000032 in words is "ninety-seven million, thirty-two", and thus it is an aban number and an uban number.
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