Search a number
-
+
12743712 = 253244249
BaseRepresentation
bin110000100111…
…010000100000
3212222110002100
4300213100200
511230244322
61133050400
7213214452
oct60472040
925873070
1012743712
1172145a3
124326a00
132842677
14199a2d2
1511badac
hexc27420

12743712 has 36 divisors (see below), whose sum is σ = 36240750. Its totient is φ = 4247808.

The previous prime is 12743701. The next prime is 12743713. The reversal of 12743712 is 21734721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 41616 = 3564^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (12743713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21837 + ... + 22412.

Almost surely, 212743712 is an apocalyptic number.

12743712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12743712 is an abundant number, since it is smaller than the sum of its proper divisors (23497038).

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

12743712 is a wasteful number, since it uses less digits than its factorization.

12743712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44265 (or 44254 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12743712 is about 3569.8336095678. The cubic root of 12743712 is about 233.5780253927.

It can be divided in two parts, 127437 and 12, that added together give a square (127449 = 3572).

The spelling of 12743712 in words is "twelve million, seven hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44249 88498 132747 176996 265494 353992 398241 530988 707984 796482 1061976 1415968 1592964 2123952 3185928 4247904 6371856 12743712