| Base | Representation |
|---|---|
| bin | 110000010111… |
| … | …111011100000 |
| 3 | 212212020222000 |
| 4 | 300113323200 |
| 5 | 11221242203 |
| 6 | 1131444000 |
| 7 | 212533431 |
| oct | 60277340 |
| 9 | 25766860 |
| 10 | 12680928 |
| 11 | 7181407 |
| 12 | 42b6600 |
| 13 | 281cc10 |
| 14 | 1981488 |
| 15 | 11a74a3 |
| hex | c17ee0 |
12680928 has 96 divisors (see below), whose sum is σ = 39866400. Its totient is φ = 3898368.
The previous prime is 12680909. The next prime is 12680933. The reversal of 12680928 is 82908621.
12680928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 12680892 and 12680901.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10668 + ... + 11796.
It is an arithmetic number, because the mean of its divisors is an integer number (415275).
Almost surely, 212680928 is an apocalyptic number.
12680928 is a gapful number since it is divisible by the number (18) 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 12680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933200).
12680928 is an abundant number, since it is smaller than the sum of its proper divisors (27185472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12680928 is a wasteful number, since it uses less digits than its factorization.
12680928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 12680928 is about 3561.0290647508. The cubic root of 12680928 is about 233.1938068333.
The spelling of 12680928 in words is "twelve million, six hundred eighty thousand, nine hundred twenty-eight".
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