| Base | Representation |
|---|---|
| bin | 110000100000… |
| … | …101110000000 |
| 3 | 212221002100100 |
| 4 | 300200232000 |
| 5 | 11223420203 |
| 6 | 1132322400 |
| 7 | 213043410 |
| oct | 60405600 |
| 9 | 25832310 |
| 10 | 12716928 |
| 11 | 71a6464 |
| 12 | 4313400 |
| 13 | 2833413 |
| 14 | 1990640 |
| 15 | 11b2ea3 |
| hex | c20b80 |
12716928 has 192 divisors, whose sum is σ = 44553600. Its totient is φ = 3400704.
The previous prime is 12716927. The next prime is 12716933. The reversal of 12716928 is 82961721.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 12716892 and 12716901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12716923) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153175 + ... + 153257.
It is an arithmetic number, because the mean of its divisors is an integer number (232050).
Almost surely, 212716928 is an apocalyptic number.
12716928 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 12716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).
12716928 is an abundant number, since it is smaller than the sum of its proper divisors (31836672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12716928 is a wasteful number, since it uses less digits than its factorization.
12716928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 114 counting only the distinct ones).
The product of its digits is 12096, while the sum is 36.
The square root of 12716928 is about 3566.0802010050. The cubic root of 12716928 is about 233.4142703346.
The spelling of 12716928 in words is "twelve million, seven hundred sixteen thousand, nine hundred twenty-eight".
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