Search a number
-
+
12731936 = 257113503
BaseRepresentation
bin110000100100…
…011000100000
3212221211221012
4300210120200
511224410221
61132520052
7213135230
oct60443040
925854835
1012731936
117206768
124320028
13283a1b9
141995cc0
1511b765b
hexc24620

12731936 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 5397504.

The previous prime is 12731923. The next prime is 12731941. The reversal of 12731936 is 63913721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25061 + ... + 25563.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 212731936 is an apocalyptic number.

12731936 is a gapful number since it is divisible by the number (16) 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 12731936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

12731936 is an abundant number, since it is smaller than the sum of its proper divisors (16225888).

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

12731936 is a wasteful number, since it uses less digits than its factorization.

12731936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 12731936 is about 3568.1838517655. The cubic root of 12731936 is about 233.5060562389.

The spelling of 12731936 in words is "twelve million, seven hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 503 791 904 1006 1582 1808 2012 3164 3521 3616 4024 6328 7042 8048 12656 14084 16096 25312 28168 56336 56839 112672 113678 227356 397873 454712 795746 909424 1591492 1818848 3182984 6365968 12731936