Base | Representation |
---|---|
bin | 101110111110… |
… | …001100010000 |
3 | 212011120202101 |
4 | 232332030100 |
5 | 11123011420 |
6 | 1115530144 |
7 | 206443003 |
oct | 56761420 |
9 | 25146671 |
10 | 12313360 |
11 | 6a50234 |
12 | 4159954 |
13 | 2721817 |
14 | 18c753a |
15 | 113360a |
hex | bbe310 |
12313360 has 40 divisors (see below), whose sum is σ = 28848600. Its totient is φ = 4887552.
The previous prime is 12313339. The next prime is 12313361. The reversal of 12313360 is 6331321.
12313360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 10419984 = 1376^2 + 3228^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is not an unprimeable number, because it can be changed into a prime (12313361) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11404 + ... + 12436.
It is an arithmetic number, because the mean of its divisors is an integer number (721215).
Almost surely, 212313360 is an apocalyptic number.
12313360 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 12313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424300).
12313360 is an abundant number, since it is smaller than the sum of its proper divisors (16535240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12313360 is a wasteful number, since it uses less digits than its factorization.
12313360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 19.
The square root of 12313360 is about 3509.0397546907. The cubic root of 12313360 is about 230.9185697753.
Adding to 12313360 its reverse (6331321), we get a palindrome (18644681).
The spelling of 12313360 in words is "twelve million, three hundred thirteen thousand, three hundred sixty".
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