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12744396 = 22327103491
BaseRepresentation
bin110000100111…
…011011001100
3212222111000200
4300213123030
511230310041
61133053500
7213216450
oct60473314
925874020
1012744396
117215065
124327290
132842a82
14199a660
1511bb1b6
hexc276cc

12744396 has 72 divisors (see below), whose sum is σ = 37250304. Its totient is φ = 3598560.

The previous prime is 12744377. The next prime is 12744397. The reversal of 12744396 is 69344721.

12744396 is a `hidden beast` number, since 127 + 443 + 96 = 666.

12744396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12744396.

It is not an unprimeable number, because it can be changed into a prime (12744397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25711 + ... + 26201.

Almost surely, 212744396 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 12744396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625152).

12744396 is an abundant number, since it is smaller than the sum of its proper divisors (24505908).

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

12744396 is a wasteful number, since it uses less digits than its factorization.

12744396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

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

The square root of 12744396 is about 3569.9294110668. The cubic root of 12744396 is about 233.5822043036.

The spelling of 12744396 in words is "twelve million, seven hundred forty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 491 618 721 927 982 1236 1442 1473 1854 1964 2163 2884 2946 3437 3708 4326 4419 5892 6489 6874 8652 8838 10311 12978 13748 17676 20622 25956 30933 41244 50573 61866 101146 123732 151719 202292 303438 354011 455157 606876 708022 910314 1062033 1416044 1820628 2124066 3186099 4248132 6372198 12744396