| Base | Representation |
|---|---|
| bin | 111111000000100… |
| … | …101000101110000 |
| 3 | 2201200011002021000 |
| 4 | 333000211011300 |
| 5 | 4131110212103 |
| 6 | 252521402000 |
| 7 | 35124225246 |
| oct | 7700450560 |
| 9 | 2650132230 |
| 10 | 1057116528 |
| 11 | 4a2795326 |
| 12 | 256039300 |
| 13 | 13b017850 |
| 14 | a0578796 |
| 15 | 62c14aa3 |
| hex | 3f025170 |
1057116528 has 160 divisors (see below), whose sum is σ = 3440057600. Its totient is φ = 308116224.
The previous prime is 1057116481. The next prime is 1057116551. The reversal of 1057116528 is 8256117501.
1057116528 is a `hidden beast` number, since 1 + 0 + 571 + 1 + 65 + 28 = 666.
It is a super-2 number, since 2×10571165282 = 2234990707541549568, 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 = 1057116492 and 1057116501.
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 31 ways as a sum of consecutive naturals, for example, 101751 + ... + 111657.
It is an arithmetic number, because the mean of its divisors is an integer number (21500360).
Almost surely, 21057116528 is an apocalyptic number.
1057116528 is a gapful number since it is divisible by the number (18) 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 1057116528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720028800).
1057116528 is an abundant number, since it is smaller than the sum of its proper divisors (2382941072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057116528 is a wasteful number, since it uses less digits than its factorization.
1057116528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9956 (or 9944 counting only the distinct ones).
The product of its (nonzero) digits is 16800, while the sum is 36.
The square root of 1057116528 is about 32513.3284669534. The cubic root of 1057116528 is about 1018.6874466566.
The spelling of 1057116528 in words is "one billion, fifty-seven million, one hundred sixteen thousand, five hundred twenty-eight".
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