Base | Representation |
---|---|
bin | 111111000000111… |
… | …010100100100000 |
3 | 2201200022112221200 |
4 | 333000322210200 |
5 | 4131121021022 |
6 | 252523321200 |
7 | 35125042620 |
oct | 7700724440 |
9 | 2650275850 |
10 | 1057204512 |
11 | 4a2845441 |
12 | 256080200 |
13 | 13b048900 |
14 | a059c880 |
15 | 62c30bac |
hex | 3f03a920 |
1057204512 has 432 divisors, whose sum is σ = 3884811840. Its totient is φ = 266692608.
The previous prime is 1057204487. The next prime is 1057204513. The reversal of 1057204512 is 2154027501.
It is a super-2 number, since 2×10572045122 = 2235362760386316288, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1057204513) 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, 9880363 + ... + 9880469.
It is an arithmetic number, because the mean of its divisors is an integer number (8992620).
Almost surely, 21057204512 is an apocalyptic number.
1057204512 is a gapful number since it is divisible by the number (12) 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 1057204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942405920).
1057204512 is an abundant number, since it is smaller than the sum of its proper divisors (2827607328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057204512 is a wasteful number, since it uses less digits than its factorization.
1057204512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 185 (or 161 counting only the distinct ones).
The product of its (nonzero) digits is 2800, while the sum is 27.
The square root of 1057204512 is about 32514.6814839082. The cubic root of 1057204512 is about 1018.7157077194.
The spelling of 1057204512 in words is "one billion, fifty-seven million, two hundred four thousand, five hundred twelve".
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