| Base | Representation |
|---|---|
| bin | 111110111100100… |
| … | …010100001000000 |
| 3 | 2201121011021102100 |
| 4 | 332330202201000 |
| 5 | 4130322314113 |
| 6 | 252442550400 |
| 7 | 35112224400 |
| oct | 7674424100 |
| 9 | 2647137370 |
| 10 | 1056057408 |
| 11 | 4a213161a |
| 12 | 255808400 |
| 13 | 13aa36753 |
| 14 | a0380800 |
| 15 | 62aa5d73 |
| hex | 3ef22840 |
1056057408 has 504 divisors, whose sum is σ = 3902805504. Its totient is φ = 270950400.
The previous prime is 1056057407. The next prime is 1056057419. The reversal of 1056057408 is 8047506501.
1056057408 is a `hidden beast` number, since 1 + 0 + 5 + 605 + 7 + 40 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (504).
It is a super-3 number, since 3×10560574083 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (1056057403) 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 71 ways as a sum of consecutive naturals, for example, 14874013 + ... + 14874083.
Almost surely, 21056057408 is an apocalyptic number.
1056057408 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 1056057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951402752).
1056057408 is an abundant number, since it is smaller than the sum of its proper divisors (2846748096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056057408 is a wasteful number, since it uses less digits than its factorization.
1056057408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The square root of 1056057408 is about 32497.0369110785. The cubic root of 1056057408 is about 1018.3471269474.
The spelling of 1056057408 in words is "one billion, fifty-six million, fifty-seven thousand, four hundred eight".
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