Search a number
-
+
11132 = 2211223
BaseRepresentation
bin10101101111100
3120021022
42231330
5324012
6123312
744312
oct25574
916238
1011132
118400
126538
1350b4
1440b2
153472
hex2b7c

11132 has 18 divisors (see below), whose sum is σ = 22344. Its totient is φ = 4840.

The previous prime is 11131. The next prime is 11149. The reversal of 11132 is 23111.

Adding to 11132 its reverse (23111), we get a palindrome (34243).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131) 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, 473 + ... + 495.

It is an amenable number.

11132 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172).

11132 is a wasteful number, since it uses less digits than its factorization.

11132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its digits is 6, while the sum is 8.

The square root of 11132 is about 105.5082935129. The cubic root of 11132 is about 22.3284066259.

The spelling of 11132 in words is "eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 1012 2783 5566 11132