| Base | Representation |
|---|---|
| bin | 111110111100010… |
| … | …100100000000000 |
| 3 | 2201121001100200010 |
| 4 | 332330110200000 |
| 5 | 4130314000000 |
| 6 | 252441424520 |
| 7 | 35111565126 |
| oct | 7674244000 |
| 9 | 2647040603 |
| 10 | 1056000000 |
| 11 | 4a20a2480 |
| 12 | 25579b140 |
| 13 | 13aa16593 |
| 14 | a0367916 |
| 15 | 62a93d50 |
| hex | 3ef14800 |
1056000000 has 336 divisors, whose sum is σ = 3839013360. Its totient is φ = 256000000.
The previous prime is 1055999983. The next prime is 1056000007. The reversal of 1056000000 is 6501.
It is a super-2 number, since 2×10560000002 = 2230272000000000000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 1056000000.
It is not an unprimeable number, because it can be changed into a prime (1056000007) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95999995 + ... + 96000005.
It is an arithmetic number, because the mean of its divisors is an integer number (11425635).
Almost surely, 21056000000 is an apocalyptic number.
1056000000 is a gapful number since it is divisible by the number (10) 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 1056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919506680).
1056000000 is an abundant number, since it is smaller than the sum of its proper divisors (2783013360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056000000 is an frugal number, since it uses more digits than its factorization.
1056000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 12.
The square root of 1056000000 is about 32496.1536185438. The cubic root of 1056000000 is about 1018.3286739319.
Adding to 1056000000 its reverse (6501), we get a palindrome (1056006501).
The spelling of 1056000000 in words is "one billion, fifty-six million", and thus it is an aban number and an uban number.
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