Base | Representation |
---|---|
bin | 101111101111… |
… | …101001010000 |
3 | 212112212121121 |
4 | 233233221100 |
5 | 11201002140 |
6 | 1124132024 |
7 | 211245364 |
oct | 57575120 |
9 | 25485547 |
10 | 12515920 |
11 | 707943a |
12 | 4237014 |
13 | 2792a91 |
14 | 193b2a4 |
15 | 117364a |
hex | befa50 |
12515920 has 40 divisors (see below), whose sum is σ = 29406600. Its totient is φ = 4953600.
The previous prime is 12515917. The next prime is 12515929. The reversal of 12515920 is 2951521.
It can be written as a sum of positive squares in 4 ways, for example, as 3225616 + 9290304 = 1796^2 + 3048^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12515929) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7306 + ... + 8854.
It is an arithmetic number, because the mean of its divisors is an integer number (735165).
Almost surely, 212515920 is an apocalyptic number.
12515920 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 12515920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703300).
12515920 is an abundant number, since it is smaller than the sum of its proper divisors (16890680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12515920 is a wasteful number, since it uses less digits than its factorization.
12515920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1663 (or 1657 counting only the distinct ones).
The product of its (nonzero) digits is 900, while the sum is 25.
The square root of 12515920 is about 3537.7846175255. The cubic root of 12515920 is about 232.1779253418.
The spelling of 12515920 in words is "twelve million, five hundred fifteen thousand, nine hundred twenty".
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