| Base | Representation |
|---|---|
| bin | 1101101000001… |
| … | …0101111110000 |
| 3 | 10222112221220200 |
| 4 | 3122002233300 |
| 5 | 104113034030 |
| 6 | 5401035200 |
| 7 | 1262561160 |
| oct | 332025760 |
| 9 | 128487820 |
| 10 | 57158640 |
| 11 | 2a2a0150 |
| 12 | 17185b00 |
| 13 | bac38a6 |
| 14 | 783c5a0 |
| 15 | 5040d60 |
| hex | 3682bf0 |
57158640 has 240 divisors, whose sum is σ = 239556096. Its totient is φ = 11865600.
The previous prime is 57158639. The next prime is 57158659. The reversal of 57158640 is 4685175.
57158640 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 8 + 640 = 666.
57158640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×571586402 = 6534220253299200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 57158595 and 57158604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54925 + ... + 55955.
Almost surely, 257158640 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 57158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119778048).
57158640 is an abundant number, since it is smaller than the sum of its proper divisors (182397456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57158640 is a wasteful number, since it uses less digits than its factorization.
57158640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The square root of 57158640 is about 7560.3333259850. Note that the first 4 decimals coincide. The cubic root of 57158640 is about 385.2068152895.
The spelling of 57158640 in words is "fifty-seven million, one hundred fifty-eight thousand, six hundred forty".
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