| Base | Representation |
|---|---|
| bin | 1011101000001… |
| … | …00000010000000 |
| 3 | 20210112020121100 |
| 4 | 11310010002000 |
| 5 | 144432042310 |
| 6 | 13402254400 |
| 7 | 2263011630 |
| oct | 564040200 |
| 9 | 223466540 |
| 10 | 97534080 |
| 11 | 50067886 |
| 12 | 287b7400 |
| 13 | 1728c297 |
| 14 | cd4c6c0 |
| 15 | 8868ec0 |
| hex | 5d04080 |
97534080 has 384 divisors, whose sum is σ = 400982400. Its totient is φ = 21381120.
The previous prime is 97534069. The next prime is 97534081. The reversal of 97534080 is 8043579.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×975340802 = 19025793522892800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97534081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653091 + ... + 1653149.
It is an arithmetic number, because the mean of its divisors is an integer number (1044225).
Almost surely, 297534080 is an apocalyptic number.
97534080 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 97534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).
97534080 is an abundant number, since it is smaller than the sum of its proper divisors (303448320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97534080 is a wasteful number, since it uses less digits than its factorization.
97534080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 97534080 is about 9875.9343861733. The cubic root of 97534080 is about 460.3118238604.
The spelling of 97534080 in words is "ninety-seven million, five hundred thirty-four thousand, eighty".
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