Base | Representation |
---|---|
bin | 101111010011… |
… | …010110001000 |
3 | 212022222121120 |
4 | 233103112020 |
5 | 11133300013 |
6 | 1121435240 |
7 | 210253425 |
oct | 57232610 |
9 | 25288546 |
10 | 12400008 |
11 | 6aaa345 |
12 | 419bb20 |
13 | 27520aa |
14 | 190ad4c |
15 | 114e123 |
hex | bd3588 |
12400008 has 64 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 3850560.
The previous prime is 12400001. The next prime is 12400009. The reversal of 12400008 is 80000421.
12400008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 12400008.
It is not an unprimeable number, because it can be changed into a prime (12400001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32185 + ... + 32567.
It is an arithmetic number, because the mean of its divisors is an integer number (518400).
Almost surely, 212400008 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 12400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).
12400008 is an abundant number, since it is smaller than the sum of its proper divisors (20777592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12400008 is a wasteful number, since it uses less digits than its factorization.
12400008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 482 (or 478 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
The square root of 12400008 is about 3521.3645082553. The cubic root of 12400008 is about 231.4589552287.
Adding to 12400008 its reverse (80000421), we get a palindrome (92400429).
The spelling of 12400008 in words is "twelve million, four hundred thousand, eight".
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