Base | Representation |
---|---|
bin | 101110100000… |
… | …111110000000 |
3 | 211221111120012 |
4 | 232200332000 |
5 | 11110144124 |
6 | 1113204052 |
7 | 205434020 |
oct | 56407600 |
9 | 24844505 |
10 | 12193664 |
11 | 697930a |
12 | 4100628 |
13 | 26ac1b2 |
14 | 1895a80 |
15 | 110ce0e |
hex | ba0f80 |
12193664 has 64 divisors (see below), whose sum is σ = 28723200. Its totient is φ = 5045760.
The previous prime is 12193663. The next prime is 12193669. The reversal of 12193664 is 46639121.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 12193664.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12193661) 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, 27557 + ... + 27995.
It is an arithmetic number, because the mean of its divisors is an integer number (448800).
Almost surely, 212193664 is an apocalyptic number.
12193664 is a gapful number since it is divisible by the number (14) 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 12193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361600).
12193664 is an abundant number, since it is smaller than the sum of its proper divisors (16529536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12193664 is an equidigital number, since it uses as much as digits as its factorization.
12193664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 491 (or 479 counting only the distinct ones).
The product of its digits is 7776, while the sum is 32.
The square root of 12193664 is about 3491.9427257617. The cubic root of 12193664 is about 230.1678925369.
The spelling of 12193664 in words is "twelve million, one hundred ninety-three thousand, six hundred sixty-four".
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