| Base | Representation |
|---|---|
| bin | 111110111111001… |
| … | …100010000000000 |
| 3 | 2201122110121002200 |
| 4 | 332333030100000 |
| 5 | 4131012041030 |
| 6 | 252505513200 |
| 7 | 35121151326 |
| oct | 7677142000 |
| 9 | 2648417080 |
| 10 | 1056752640 |
| 11 | 4a2566999 |
| 12 | 255aa2800 |
| 13 | 13ac1b028 |
| 14 | a04c1d16 |
| 15 | 62b91d60 |
| hex | 3efcc400 |
1056752640 has 528 divisors, whose sum is σ = 4138542720. Its totient is φ = 247726080.
The previous prime is 1056752617. The next prime is 1056752647. The reversal of 1056752640 is 462576501.
It is a happy number.
1056752640 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 5 + 2 + 640 = 666.
It is a super-2 number, since 2×10567526402 = 2233452284293939200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 1056752595 and 1056752604.
It is not an unprimeable number, because it can be changed into a prime (1056752647) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883805 + ... + 14883875.
Almost surely, 21056752640 is an apocalyptic number.
1056752640 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 1056752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069271360).
1056752640 is an abundant number, since it is smaller than the sum of its proper divisors (3081790080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056752640 is a wasteful number, since it uses less digits than its factorization.
1056752640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 138 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The square root of 1056752640 is about 32507.7320033250. The cubic root of 1056752640 is about 1018.5705466841.
The spelling of 1056752640 in words is "one billion, fifty-six million, seven hundred fifty-two thousand, six hundred forty".
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