Base | Representation |
---|---|
bin | 101111000111… |
… | …110011000000 |
3 | 212020120201120 |
4 | 233013303000 |
5 | 11130241304 |
6 | 1120432240 |
7 | 206665500 |
oct | 57076300 |
9 | 25216646 |
10 | 12352704 |
11 | 6a77851 |
12 | 4178680 |
13 | 27366c0 |
14 | 18d7a00 |
15 | 11400d9 |
hex | bc7cc0 |
12352704 has 168 divisors, whose sum is σ = 41349168. Its totient is φ = 3225600.
The previous prime is 12352699. The next prime is 12352721. The reversal of 12352704 is 40725321.
12352704 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 (168).
It is a super-2 number, since 2×123527042 = 305178592223232, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122254 + ... + 122354.
It is an arithmetic number, because the mean of its divisors is an integer number (246126).
Almost surely, 212352704 is an apocalyptic number.
12352704 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 12352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20674584).
12352704 is an abundant number, since it is smaller than the sum of its proper divisors (28996464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12352704 is a wasteful number, since it uses less digits than its factorization.
12352704 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 24.
The square root of 12352704 is about 3514.6413757310. The cubic root of 12352704 is about 231.1642541608.
The spelling of 12352704 in words is "twelve million, three hundred fifty-two thousand, seven hundred four".
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