Base | Representation |
---|---|
bin | 101110111101… |
… | …010110100000 |
3 | 212011102000222 |
4 | 232331112200 |
5 | 11122404140 |
6 | 1115502212 |
7 | 206426660 |
oct | 56752640 |
9 | 25142028 |
10 | 12309920 |
11 | 6a48697 |
12 | 4157968 |
13 | 272009c |
14 | 18c61a0 |
15 | 11325b5 |
hex | bbd5a0 |
12309920 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 4064256.
The previous prime is 12309907. The next prime is 12309931. The reversal of 12309920 is 2990321.
It is a self number, because there is not a number n which added to its sum of digits gives 12309920.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 32291 + ... + 32669.
It is an arithmetic number, because the mean of its divisors is an integer number (359100).
Almost surely, 212309920 is an apocalyptic number.
12309920 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 12309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).
12309920 is an abundant number, since it is smaller than the sum of its proper divisors (22163680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12309920 is a wasteful number, since it uses less digits than its factorization.
12309920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 430 (or 422 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 26.
The square root of 12309920 is about 3508.5495578658. The cubic root of 12309920 is about 230.8970637616.
The spelling of 12309920 in words is "twelve million, three hundred nine thousand, nine hundred twenty".
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