Base | Representation |
---|---|
bin | 101110001101… |
… | …110101010000 |
3 | 211210112001002 |
4 | 232031311100 |
5 | 11100142110 |
6 | 1111401132 |
7 | 204656342 |
oct | 56156520 |
9 | 24715032 |
10 | 12115280 |
11 | 6925431 |
12 | 40831a8 |
13 | 2682608 |
14 | 1875292 |
15 | 10e4aa5 |
hex | b8dd50 |
12115280 has 40 divisors (see below), whose sum is σ = 28936392. Its totient is φ = 4713984.
The previous prime is 12115267. The next prime is 12115283. The reversal of 12115280 is 8251121.
It is a happy number.
12115280 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 4 ways, for example, as 2849344 + 9265936 = 1688^2 + 3044^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12115283) 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, 914 + ... + 5006.
Almost surely, 212115280 is an apocalyptic number.
12115280 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 12115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468196).
12115280 is an abundant number, since it is smaller than the sum of its proper divisors (16821112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12115280 is a wasteful number, since it uses less digits than its factorization.
12115280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4143 (or 4137 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 20.
The square root of 12115280 is about 3480.7010788058. The cubic root of 12115280 is about 229.6736392055.
The spelling of 12115280 in words is "twelve million, one hundred fifteen thousand, two hundred eighty".
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