Base | Representation |
---|---|
bin | 111110111100110… |
… | …010011010000000 |
3 | 2201121021120201000 |
4 | 332330302122000 |
5 | 4130331404441 |
6 | 252444212000 |
7 | 35112615222 |
oct | 7674623200 |
9 | 2647246630 |
10 | 1056122496 |
11 | 4a2176510 |
12 | 25583a000 |
13 | 13aa5a270 |
14 | a039a412 |
15 | 62aba2b6 |
hex | 3ef32680 |
1056122496 has 256 divisors, whose sum is σ = 3663676800. Its totient is φ = 295280640.
The previous prime is 1056122449. The next prime is 1056122513. The reversal of 1056122496 is 6942216501.
1056122496 is a `hidden beast` number, since 1 + 0 + 561 + 2 + 2 + 4 + 96 = 666.
1056122496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10561224962 = 2230789453114540032, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1056122496.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493140 + ... + 495276.
Almost surely, 21056122496 is an apocalyptic number.
1056122496 is a gapful number since it is divisible by the number (16) 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 1056122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831838400).
1056122496 is an abundant number, since it is smaller than the sum of its proper divisors (2607554304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056122496 is a wasteful number, since it uses less digits than its factorization.
1056122496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2184 (or 2166 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 1056122496 is about 32498.0383407984. The cubic root of 1056122496 is about 1018.3680477849.
Adding to 1056122496 its reverse (6942216501), we get a palindrome (7998338997).
The spelling of 1056122496 in words is "one billion, fifty-six million, one hundred twenty-two thousand, four hundred ninety-six".
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