| Base | Representation |
|---|---|
| bin | 101111111011… |
| … | …011000100000 |
| 3 | 212122022120100 |
| 4 | 233323120200 |
| 5 | 11204022000 |
| 6 | 1125142400 |
| 7 | 211535511 |
| oct | 57733040 |
| 9 | 25568510 |
| 10 | 12564000 |
| 11 | 7101579 |
| 12 | 425aa00 |
| 13 | 27ab927 |
| 14 | 1950a08 |
| 15 | 1182a00 |
| hex | bfb620 |
12564000 has 144 divisors (see below), whose sum is σ = 44717400. Its totient is φ = 3340800.
The previous prime is 12563977. The next prime is 12564001. The reversal of 12564000 is 46521.
It is a happy number.
12564000 is a `hidden beast` number, since 1 + 25 + 640 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 7420176 = 2268^2 + 2724^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12564001) 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 23 ways as a sum of consecutive naturals, for example, 35826 + ... + 36174.
Almost surely, 212564000 is an apocalyptic number.
12564000 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 12564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358700).
12564000 is an abundant number, since it is smaller than the sum of its proper divisors (32153400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12564000 is a wasteful number, since it uses less digits than its factorization.
12564000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 380 (or 359 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 12564000 is about 3544.5733170581. The cubic root of 12564000 is about 232.4748498637.
It can be divided in two parts, 125 and 64000, that multiplied together give a cube (8000000 = 2003).
The spelling of 12564000 in words is "twelve million, five hundred sixty-four thousand".
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