Base | Representation |
---|---|
bin | 101110111101… |
… | …001110100000 |
3 | 212011101100000 |
4 | 232331032200 |
5 | 11122400113 |
6 | 1115500000 |
7 | 206425326 |
oct | 56751640 |
9 | 25141300 |
10 | 12309408 |
11 | 6a48271 |
12 | 4157600 |
13 | 271ca97 |
14 | 18c5d16 |
15 | 1132373 |
hex | bbd3a0 |
12309408 has 72 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 4100544.
The previous prime is 12309391. The next prime is 12309413. The reversal of 12309408 is 80490321.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 6.
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 11 ways as a sum of consecutive naturals, for example, 6985 + ... + 8567.
It is an arithmetic number, because the mean of its divisors is an integer number (504504).
Almost surely, 212309408 is an apocalyptic number.
12309408 is a gapful number since it is divisible by the number (18) 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 12309408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).
12309408 is an abundant number, since it is smaller than the sum of its proper divisors (24014880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12309408 is an equidigital number, since it uses as much as digits as its factorization.
12309408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1608 (or 1588 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 12309408 is about 3508.4765924828. The cubic root of 12309408 is about 230.8938625240.
Adding to 12309408 its reverse (80490321), we get a palindrome (92799729).
The spelling of 12309408 in words is "twelve million, three hundred nine thousand, four hundred eight".
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