| Base | Representation |
|---|---|
| bin | 111111000000011… |
| … | …010100010110000 |
| 3 | 2201200001220000000 |
| 4 | 333000122202300 |
| 5 | 4131102321303 |
| 6 | 252520430000 |
| 7 | 35123655303 |
| oct | 7700324260 |
| 9 | 2650056000 |
| 10 | 1057073328 |
| 11 | 4a2765923 |
| 12 | 256018300 |
| 13 | 13b000c9c |
| 14 | a0566b3a |
| 15 | 62c06da3 |
| hex | 3f01a8b0 |
1057073328 has 160 divisors (see below), whose sum is σ = 3254166720. Its totient is φ = 331444224.
The previous prime is 1057073327. The next prime is 1057073333. The reversal of 1057073328 is 8233707501.
1057073328 is a `hidden beast` number, since 10 + 570 + 73 + 3 + 2 + 8 = 666.
It is a super-2 number, since 2×10570733282 = 2234808041537991168, 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 = 1057073292 and 1057073301.
It is not an unprimeable number, because it can be changed into a prime (1057073327) by changing a digit.
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, 593976 + ... + 595752.
It is an arithmetic number, because the mean of its divisors is an integer number (20338542).
Almost surely, 21057073328 is an apocalyptic number.
1057073328 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 1057073328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627083360).
1057073328 is an abundant number, since it is smaller than the sum of its proper divisors (2197093392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057073328 is an equidigital number, since it uses as much as digits as its factorization.
1057073328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1823 (or 1799 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 36.
The square root of 1057073328 is about 32512.6641172328. The cubic root of 1057073328 is about 1018.6735699470.
The spelling of 1057073328 in words is "one billion, fifty-seven million, seventy-three thousand, three hundred twenty-eight".
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