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11232 = 253313
BaseRepresentation
bin10101111100000
3120102000
42233200
5324412
6124000
744514
oct25740
916360
1011232
118491
126600
135160
144144
1534dc
hex2be0

11232 has 48 divisors (see below), whose sum is σ = 35280. Its totient is φ = 3456.

The previous prime is 11213. The next prime is 11239. The reversal of 11232 is 23211.

Adding to 11232 its reverse (23211), we get a palindrome (34443).

It can be divided in two parts, 112 and 32, that added together give a square (144 = 122).

It is a happy number.

11232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239) by changing a digit.

11232 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 858 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (735).

11232 is a gapful number since it is divisible by the number (12) 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 11232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

11232 is an abundant number, since it is smaller than the sum of its proper divisors (24048).

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

11232 is a wasteful number, since it uses less digits than its factorization.

11232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 18 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 11232 is about 105.9811303959. The cubic root of 11232 is about 22.3950669409.

The spelling of 11232 in words is "eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232