Base | Representation |
---|---|
bin | 101111000110… |
… | …011110010000 |
3 | 212020022021200 |
4 | 233012132100 |
5 | 11130103110 |
6 | 1120351200 |
7 | 206643621 |
oct | 57063620 |
9 | 25208250 |
10 | 12347280 |
11 | 6a73770 |
12 | 4175500 |
13 | 27340aa |
14 | 18d5a48 |
15 | 113d6c0 |
hex | bc6790 |
12347280 has 120 divisors (see below), whose sum is σ = 45264960. Its totient is φ = 2991360.
The previous prime is 12347267. The next prime is 12347281. The reversal of 12347280 is 8274321.
12347280 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 tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (12347281) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7141 + ... + 8699.
It is an arithmetic number, because the mean of its divisors is an integer number (377208).
Almost surely, 212347280 is an apocalyptic number.
12347280 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 12347280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).
12347280 is an abundant number, since it is smaller than the sum of its proper divisors (32917680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12347280 is a wasteful number, since it uses less digits than its factorization.
12347280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 12347280 is about 3513.8696617831. The cubic root of 12347280 is about 231.1304149173.
The spelling of 12347280 in words is "twelve million, three hundred forty-seven thousand, two hundred eighty".
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