Search a number
-
+
11232768 = 29371103
BaseRepresentation
bin101010110110…
…011000000000
3210010200110110
4222312120000
510333422033
61040431320
7164322411
oct52663000
923120413
1011232768
116382388
123918540
132433a11
1416c5808
15ebd363
hexab6600

11232768 has 80 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 3655680.

The previous prime is 11232731. The next prime is 11232791. The reversal of 11232768 is 86723211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109005 + ... + 109107.

Almost surely, 211232768 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 11232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

11232768 is an abundant number, since it is smaller than the sum of its proper divisors (19408128).

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

11232768 is an equidigital number, since it uses as much as digits as its factorization.

11232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11232768 is about 3351.5321869259. The cubic root of 11232768 is about 223.9557735815.

Adding to 11232768 its reverse (86723211), we get a palindrome (97955979).

The spelling of 11232768 in words is "eleven million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 103 128 142 192 206 213 256 284 309 384 412 426 512 568 618 768 824 852 1136 1236 1536 1648 1704 2272 2472 3296 3408 4544 4944 6592 6816 7313 9088 9888 13184 13632 14626 18176 19776 21939 26368 27264 29252 36352 39552 43878 52736 54528 58504 79104 87756 109056 117008 158208 175512 234016 351024 468032 702048 936064 1404096 1872128 2808192 3744256 5616384 11232768