Base | Representation |
---|---|
bin | 110000100000… |
… | …100111000000 |
3 | 212221001201202 |
4 | 300200213000 |
5 | 11223411410 |
6 | 1132320332 |
7 | 213042200 |
oct | 60404700 |
9 | 25831652 |
10 | 12716480 |
11 | 71a6097 |
12 | 43130a8 |
13 | 283315a |
14 | 1990400 |
15 | 11b2ca5 |
hex | c209c0 |
12716480 has 84 divisors (see below), whose sum is σ = 35268408. Its totient is φ = 4354560.
The previous prime is 12716467. The next prime is 12716489. The reversal of 12716480 is 8461721.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12716489) 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 11 ways as a sum of consecutive naturals, for example, 15275 + ... + 16085.
It is an arithmetic number, because the mean of its divisors is an integer number (419862).
Almost surely, 212716480 is an apocalyptic number.
12716480 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 12716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634204).
12716480 is an abundant number, since it is smaller than the sum of its proper divisors (22551928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12716480 is an equidigital number, since it uses as much as digits as its factorization.
12716480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 842 (or 825 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 29.
The square root of 12716480 is about 3566.0173863850. The cubic root of 12716480 is about 233.4115293471.
The spelling of 12716480 in words is "twelve million, seven hundred sixteen thousand, four hundred eighty".
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