Base | Representation |
---|---|
bin | 101111000001… |
… | …011111100000 |
3 | 212012021022010 |
4 | 233001133200 |
5 | 11123430010 |
6 | 1120112520 |
7 | 206530266 |
oct | 57013740 |
9 | 25167263 |
10 | 12326880 |
11 | 6a5a405 |
12 | 4165740 |
13 | 2727a17 |
14 | 18cc436 |
15 | 1137620 |
hex | bc17e0 |
12326880 has 96 divisors (see below), whose sum is σ = 39559968. Its totient is φ = 3225600.
The previous prime is 12326863. The next prime is 12326891. The reversal of 12326880 is 8862321.
12326880 is digitally balanced in base 2, because in such base 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29070 + ... + 29490.
It is an arithmetic number, because the mean of its divisors is an integer number (412083).
Almost surely, 212326880 is an apocalyptic number.
12326880 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 12326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779984).
12326880 is an abundant number, since it is smaller than the sum of its proper divisors (27233088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12326880 is a wasteful number, since it uses less digits than its factorization.
12326880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 500 (or 492 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 30.
The square root of 12326880 is about 3510.9656791259. The cubic root of 12326880 is about 231.0030546250.
The spelling of 12326880 in words is "twelve million, three hundred twenty-six thousand, eight hundred eighty".
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