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12895232 = 21072257
BaseRepresentation
bin110001001100…
…010000000000
3220021010221012
4301030100000
511300121412
61140220052
7214415300
oct61142000
926233835
1012895232
117308419
12439a628
13289661c
1419d9600
1511eac22
hexc4c400

12895232 has 66 divisors (see below), whose sum is σ = 30103182. Its totient is φ = 5505024.

The previous prime is 12895213. The next prime is 12895237. The reversal of 12895232 is 23259821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 50176 = 3584^2 + 224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12895237) 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, 50048 + ... + 50304.

Almost surely, 212895232 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 12895232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051591).

12895232 is an abundant number, since it is smaller than the sum of its proper divisors (17207950).

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

12895232 is an equidigital number, since it uses as much as digits as its factorization.

12895232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 266 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 12895232 is about 3590.9931773814. The cubic root of 12895232 is about 234.5001113833.

The spelling of 12895232 in words is "twelve million, eight hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 257 392 448 512 514 784 896 1024 1028 1568 1792 1799 2056 3136 3584 3598 4112 6272 7168 7196 8224 12544 12593 14392 16448 25088 25186 28784 32896 50176 50372 57568 65792 100744 115136 131584 201488 230272 263168 402976 460544 805952 921088 1611904 1842176 3223808 6447616 12895232