Base | Representation |
---|---|
bin | 101101111111… |
… | …101100000000 |
3 | 211200120120022 |
4 | 231333230000 |
5 | 11041313334 |
6 | 1110233012 |
7 | 204325415 |
oct | 55775400 |
9 | 24616508 |
10 | 12057344 |
11 | 6895952 |
12 | 4055768 |
13 | 2662130 |
14 | 185c10c |
15 | 10d282e |
hex | b7fb00 |
12057344 has 36 divisors (see below), whose sum is σ = 25926096. Its totient is φ = 5563392.
The previous prime is 12057323. The next prime is 12057347. The reversal of 12057344 is 44375021.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is not an unprimeable number, because it can be changed into a prime (12057347) 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 3 ways as a sum of consecutive naturals, for example, 1517 + ... + 5139.
Almost surely, 212057344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963048).
12057344 is an abundant number, since it is smaller than the sum of its proper divisors (13868752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12057344 is an equidigital number, since it uses as much as digits as its factorization.
12057344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3652 (or 3638 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 26.
The square root of 12057344 is about 3472.3686440238. The cubic root of 12057344 is about 229.3069496720.
The spelling of 12057344 in words is "twelve million, fifty-seven thousand, three hundred forty-four".
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