Search a number
-
+
12744832 = 27175857
BaseRepresentation
bin110000100111…
…100010000000
3212222111121211
4300213202000
511230313312
61133055504
7213220642
oct60474200
925874554
1012744832
117215421
124327594
132843029
14199a892
1511bb3a7
hexc27880

12744832 has 32 divisors (see below), whose sum is σ = 26888220. Its totient is φ = 5996544.

The previous prime is 12744821. The next prime is 12744847. The reversal of 12744832 is 23844721.

It can be written as a sum of positive squares in 2 ways, for example, as 10601536 + 2143296 = 3256^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12744794 and 12744803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753 + ... + 5104.

Almost surely, 212744832 is an apocalyptic number.

It is an amenable number.

12744832 is an abundant number, since it is smaller than the sum of its proper divisors (14143388).

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

12744832 is an equidigital number, since it uses as much as digits as its factorization.

12744832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5876 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 12744832 is about 3569.9904761778. The cubic root of 12744832 is about 233.5848679758.

The spelling of 12744832 in words is "twelve million, seven hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 5857 11714 23428 46856 93712 99569 187424 199138 374848 398276 749696 796552 1593104 3186208 6372416 12744832