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12672744 = 2337241313
BaseRepresentation
bin110000010101…
…111011101000
3212211211201220
4300111323220
511221011434
61131342040
7212500530
oct60257350
925754656
1012672744
117176247
1242b1920
132819286
14197c4c0
1511a4d49
hexc15ee8

12672744 has 64 divisors (see below), whose sum is σ = 36474240. Its totient is φ = 3594240.

The previous prime is 12672733. The next prime is 12672749. The reversal of 12672744 is 44727621.

12672744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12672749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40332 + ... + 40644.

It is an arithmetic number, because the mean of its divisors is an integer number (569910).

Almost surely, 212672744 is an apocalyptic number.

12672744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12672744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18237120).

12672744 is an abundant number, since it is smaller than the sum of its proper divisors (23801496).

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

12672744 is a wasteful number, since it uses less digits than its factorization.

12672744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 12672744 is about 3559.8797732508. The cubic root of 12672744 is about 233.1436299372.

The spelling of 12672744 in words is "twelve million, six hundred seventy-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 313 482 626 723 939 964 1252 1446 1687 1878 1928 2191 2504 2892 3374 3756 4382 5061 5784 6573 6748 7512 8764 10122 13146 13496 17528 20244 26292 40488 52584 75433 150866 226299 301732 452598 528031 603464 905196 1056062 1584093 1810392 2112124 3168186 4224248 6336372 12672744