Base | Representation |
---|---|
bin | 101111011100… |
… | …110100010000 |
3 | 212101221211022 |
4 | 233130310100 |
5 | 11141020200 |
6 | 1122335012 |
7 | 210504503 |
oct | 57346420 |
9 | 25357738 |
10 | 12438800 |
11 | 7026500 |
12 | 41ba468 |
13 | 276694a |
14 | 191b13a |
15 | 115a885 |
hex | bdcd10 |
12438800 has 90 divisors (see below), whose sum is σ = 32975754. Its totient is φ = 4505600.
The previous prime is 12438799. The next prime is 12438809. The reversal of 12438800 is 883421.
12438800 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 3 ways, for example, as 3748096 + 8690704 = 1936^2 + 2948^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 12438800.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12438809) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48272 + ... + 48528.
Almost surely, 212438800 is an apocalyptic number.
12438800 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 12438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487877).
12438800 is an abundant number, since it is smaller than the sum of its proper divisors (20536954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12438800 is a wasteful number, since it uses less digits than its factorization.
12438800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 297 (or 275 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 26.
The square root of 12438800 is about 3526.8682992139. The cubic root of 12438800 is about 231.7000682191.
The spelling of 12438800 in words is "twelve million, four hundred thirty-eight thousand, eight hundred".
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