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12807081 = 3272113257
BaseRepresentation
bin110000110110…
…101110101001
3220002200000100
4300312232221
511234311311
61134300013
7213600300
oct60665651
926080010
1012807081
117258171
124357609
132865471
1419b5437
1511cea56
hexc36ba9

12807081 has 36 divisors (see below), whose sum is σ = 21794292. Its totient is φ = 7225344.

The previous prime is 12807049. The next prime is 12807089. The reversal of 12807081 is 18070821.

It can be written as a sum of positive squares in 2 ways, for example, as 6456681 + 6350400 = 2541^2 + 2520^2 .

It is not a de Polignac number, because 12807081 - 25 = 12807049 is a prime.

It is a super-2 number, since 2×128070812 = 328042647481122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12807089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49705 + ... + 49961.

It is an arithmetic number, because the mean of its divisors is an integer number (605397).

Almost surely, 212807081 is an apocalyptic number.

It is an amenable number.

12807081 is a deficient number, since it is larger than the sum of its proper divisors (8987211).

12807081 is a wasteful number, since it uses less digits than its factorization.

12807081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12807081 is about 3578.6982270094. The cubic root of 12807081 is about 233.9645464586.

It can be divided in two parts, 1 and 2807081, that added together give a palindrome (2807082).

The spelling of 12807081 in words is "twelve million, eight hundred seven thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 113 147 257 339 441 771 791 1017 1799 2313 2373 5397 5537 7119 12593 16191 16611 29041 37779 49833 87123 113337 203287 261369 609861 1423009 1829583 4269027 12807081