Base | Representation |
---|---|
bin | 101111000011… |
… | …101000110000 |
3 | 212012201100110 |
4 | 233003220300 |
5 | 11124220124 |
6 | 1120221320 |
7 | 206565015 |
oct | 57035060 |
9 | 25181313 |
10 | 12335664 |
11 | 6a65a70 |
12 | 416a840 |
13 | 272ba13 |
14 | 18d170c |
15 | 113a029 |
hex | bc3a30 |
12335664 has 80 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 3667200.
The previous prime is 12335633. The next prime is 12335669. The reversal of 12335664 is 46653321.
It is not an unprimeable number, because it can be changed into a prime (12335669) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32017 + ... + 32399.
Almost surely, 212335664 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12335664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).
12335664 is an abundant number, since it is smaller than the sum of its proper divisors (23090640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12335664 is a wasteful number, since it uses less digits than its factorization.
12335664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 466 (or 460 counting only the distinct ones).
The product of its digits is 12960, while the sum is 30.
The square root of 12335664 is about 3512.2163942445. The cubic root of 12335664 is about 231.0579116811.
Adding to 12335664 its reverse (46653321), we get a palindrome (58988985).
The spelling of 12335664 in words is "twelve million, three hundred thirty-five thousand, six hundred sixty-four".
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