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12811136 = 27137699
BaseRepresentation
bin110000110111…
…101110000000
3220002212120112
4300313232000
511234424021
61134330452
7213615152
oct60675600
926085515
1012811136
117260218
124359a28
132867270
1419b6ad2
1511d0d5b
hexc37b80

12811136 has 32 divisors (see below), whose sum is σ = 27489000. Its totient is φ = 5912064.

The previous prime is 12811109. The next prime is 12811151. The reversal of 12811136 is 63111821.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×128111362 = 328250411220992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2186 + ... + 5513.

Almost surely, 212811136 is an apocalyptic number.

12811136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12811136 is an abundant number, since it is smaller than the sum of its proper divisors (14677864).

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

12811136 is an equidigital number, since it uses as much as digits as its factorization.

12811136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7714 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 12811136 is about 3579.2647289632. The cubic root of 12811136 is about 233.9892366053.

Adding to 12811136 its reverse (63111821), we get a palindrome (75922957).

The spelling of 12811136 in words is "twelve million, eight hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 7699 15398 30796 61592 100087 123184 200174 246368 400348 492736 800696 985472 1601392 3202784 6405568 12811136