Base | Representation |
---|---|
bin | 110001010101… |
… | …111111000000 |
3 | 220100011121221 |
4 | 301111333000 |
5 | 11302410404 |
6 | 1141124424 |
7 | 214642450 |
oct | 61257700 |
9 | 26304557 |
10 | 12935104 |
11 | 7335376 |
12 | 43b9714 |
13 | 28ab810 |
14 | 1a09d60 |
15 | 1207954 |
hex | c55fc0 |
12935104 has 56 divisors (see below), whose sum is σ = 31605728. Its totient is φ = 5114880.
The previous prime is 12935099. The next prime is 12935159. The reversal of 12935104 is 40153921.
12935104 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 (56).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4714 + ... + 6934.
It is an arithmetic number, because the mean of its divisors is an integer number (564388).
Almost surely, 212935104 is an apocalyptic number.
12935104 is a gapful number since it is divisible by the number (14) 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 12935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802864).
12935104 is an abundant number, since it is smaller than the sum of its proper divisors (18670624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12935104 is a wasteful number, since it uses less digits than its factorization.
12935104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2253 (or 2243 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 25.
The square root of 12935104 is about 3596.5405600382. The cubic root of 12935104 is about 234.7415538083.
The spelling of 12935104 in words is "twelve million, nine hundred thirty-five thousand, one hundred four".
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