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12744084 = 22317179349
BaseRepresentation
bin110000100111…
…010110010100
3212222110121010
4300213112110
511230302314
61133052220
7213215523
oct60472624
925873533
1012744084
117214901
124327070
1328428a2
14199a4ba
1511bb059
hexc27594

12744084 has 48 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3964416.

The previous prime is 12744077. The next prime is 12744089. The reversal of 12744084 is 48044721.

12744084 = T67 + T68 + ... + T424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744089) 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, 36342 + ... + 36690.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 212744084 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 12744084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

12744084 is an abundant number, since it is smaller than the sum of its proper divisors (19007916).

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

12744084 is a wasteful number, since it uses less digits than its factorization.

12744084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 12744084 is about 3569.8857124564. The cubic root of 12744084 is about 233.5802981523.

The spelling of 12744084 in words is "twelve million, seven hundred forty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 179 204 349 358 537 698 716 1047 1074 1396 2094 2148 3043 4188 5933 6086 9129 11866 12172 17799 18258 23732 35598 36516 62471 71196 124942 187413 249884 374826 749652 1062007 2124014 3186021 4248028 6372042 12744084