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12805236 = 2233139853
BaseRepresentation
bin110000110110…
…010001110100
3220002120111000
4300312101310
511234231421
61134243300
7213562023
oct60662164
926076430
1012805236
117256844
124356530
132864682
1419b48ba
1511ce226
hexc36474

12805236 has 48 divisors (see below), whose sum is σ = 33476800. Its totient is φ = 4232736.

The previous prime is 12805229. The next prime is 12805237. The reversal of 12805236 is 63250821.

12805236 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805237) 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, 14586 + ... + 15438.

Almost surely, 212805236 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 12805236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738400).

12805236 is an abundant number, since it is smaller than the sum of its proper divisors (20671564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12805236 is a wasteful number, since it uses less digits than its factorization.

12805236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12805236 is about 3578.4404424274. The cubic root of 12805236 is about 233.9533108690.

It can be divided in two parts, 12805 and 236, that added together give a triangular number (13041 = T161).

The spelling of 12805236 in words is "twelve million, eight hundred five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 853 1251 1668 1706 2502 2559 3412 3753 5004 5118 7506 7677 10236 15012 15354 23031 30708 46062 92124 118567 237134 355701 474268 711402 1067103 1422804 2134206 3201309 4268412 6402618 12805236