Base | Representation |
---|---|
bin | 101111100110… |
… | …111011000000 |
3 | 212111001121100 |
4 | 233212323000 |
5 | 11143331232 |
6 | 1123254400 |
7 | 211036254 |
oct | 57467300 |
9 | 25431540 |
10 | 12480192 |
11 | 705460a |
12 | 421a400 |
13 | 277c73a |
14 | 192c264 |
15 | 1167c7c |
hex | be6ec0 |
12480192 has 84 divisors (see below), whose sum is σ = 36612576. Its totient is φ = 4062720.
The previous prime is 12480161. The next prime is 12480199. The reversal of 12480192 is 29108421.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (12480199) by changing a digit.
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, 26842 + ... + 27302.
It is an arithmetic number, because the mean of its divisors is an integer number (435864).
Almost surely, 212480192 is an apocalyptic number.
12480192 is a gapful number since it is divisible by the number (12) 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 12480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306288).
12480192 is an abundant number, since it is smaller than the sum of its proper divisors (24132384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12480192 is a wasteful number, since it uses less digits than its factorization.
12480192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 526 (or 513 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 12480192 is about 3532.7315210754. The cubic root of 12480192 is about 231.9567894158.
The spelling of 12480192 in words is "twelve million, four hundred eighty thousand, one hundred ninety-two".
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