Base | Representation |
---|---|
bin | 110000001100… |
… | …011001100000 |
3 | 212202212011200 |
4 | 300030121200 |
5 | 11213234241 |
6 | 1130441200 |
7 | 212245635 |
oct | 60143140 |
9 | 25685150 |
10 | 12633696 |
11 | 7149979 |
12 | 4293200 |
13 | 280457a |
14 | 196c18c |
15 | 11984b6 |
hex | c0c660 |
12633696 has 36 divisors (see below), whose sum is σ = 35927892. Its totient is φ = 4211136.
The previous prime is 12633683. The next prime is 12633697. The reversal of 12633696 is 69633621.
12633696 is a `hidden beast` number, since 12 + 633 + 6 + 9 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×126336962 = 319220549240832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 12633696.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12633697) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21646 + ... + 22221.
It is an arithmetic number, because the mean of its divisors is an integer number (997997).
Almost surely, 212633696 is an apocalyptic number.
12633696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
12633696 is an abundant number, since it is smaller than the sum of its proper divisors (23294196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12633696 is a wasteful number, since it uses less digits than its factorization.
12633696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 43883 (or 43872 counting only the distinct ones).
The product of its digits is 34992, while the sum is 36.
The square root of 12633696 is about 3554.3910870921. The cubic root of 12633696 is about 232.9039249745.
The spelling of 12633696 in words is "twelve million, six hundred thirty-three thousand, six hundred ninety-six".
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