| Base | Representation |
|---|---|
| bin | 100101010100000… |
| … | …1101111110000000 |
| 3 | 10020020222002021000 |
| 4 | 1022220031332000 |
| 5 | 10031011310320 |
| 6 | 324123532000 |
| 7 | 43012210560 |
| oct | 11250157600 |
| 9 | 3206862230 |
| 10 | 1252056960 |
| 11 | 592831a20 |
| 12 | 2ab38a000 |
| 13 | 16c51cc0b |
| 14 | bc400da0 |
| 15 | 74dbec90 |
| hex | 4aa0df80 |
1252056960 has 512 divisors, whose sum is σ = 5534438400. Its totient is φ = 259891200.
The previous prime is 1252056959. The next prime is 1252056961. The reversal of 1252056960 is 696502521.
1252056960 is a `hidden beast` number, since 12 + 5 + 20 + 569 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (1252056959) and next prime (1252056961).
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 (1252056961) 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 63 ways as a sum of consecutive naturals, for example, 1330090 + ... + 1331030.
It is an arithmetic number, because the mean of its divisors is an integer number (10809450).
Almost surely, 21252056960 is an apocalyptic number.
1252056960 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 1252056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767219200).
1252056960 is an abundant number, since it is smaller than the sum of its proper divisors (4282381440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1252056960 is a wasteful number, since it uses less digits than its factorization.
1252056960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 987 (or 969 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
The square root of 1252056960 is about 35384.4169091424. The cubic root of 1252056960 is about 1077.8078993325.
The spelling of 1252056960 in words is "one billion, two hundred fifty-two million, fifty-six thousand, nine hundred sixty".
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