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12744936 = 2332177013
BaseRepresentation
bin110000100111…
…100011101000
3212222111202200
4300213203220
511230314221
61133100200
7213221151
oct60474350
925874680
1012744936
117215506
124327660
1328430a9
14199a928
1511bb426
hexc278e8

12744936 has 24 divisors (see below), whose sum is σ = 34517730. Its totient is φ = 4248288.

The previous prime is 12744929. The next prime is 12744947. The reversal of 12744936 is 63944721.

It can be written as a sum of positive squares in only one way, i.e., 12744900 + 36 = 3570^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12744936.

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 5 ways as a sum of consecutive naturals, for example, 88435 + ... + 88578.

Almost surely, 212744936 is an apocalyptic number.

It is an amenable number.

12744936 is an abundant number, since it is smaller than the sum of its proper divisors (21772794).

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

12744936 is a wasteful number, since it uses less digits than its factorization.

12744936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177025 (or 177018 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12744936 is about 3570.0050420132. The cubic root of 12744936 is about 233.5855033382.

Subtracting from 12744936 its sum of digits (36), we obtain a square (12744900 = 35702).

It can be divided in two parts, 127449 and 36, that multiplied together give a square (4588164 = 21422).

The spelling of 12744936 in words is "twelve million, seven hundred forty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 177013 354026 531039 708052 1062078 1416104 1593117 2124156 3186234 4248312 6372468 12744936