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11032 = 237197
BaseRepresentation
bin10101100011000
3120010121
42230120
5323112
6123024
744110
oct25430
916117
1011032
11831a
126474
135038
144040
153407
hex2b18

11032 has 16 divisors (see below), whose sum is σ = 23760. Its totient is φ = 4704.

The previous prime is 11027. The next prime is 11047. The reversal of 11032 is 23011.

It is a Harshad number since it is a multiple of its sum of digits (7).

11032 is an undulating number in base 14.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

11032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (1485).

It is an amenable number.

11032 is an abundant number, since it is smaller than the sum of its proper divisors (12728).

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 (11880).

11032 is a wasteful number, since it uses less digits than its factorization.

11032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 11032 is about 105.0333280440. The cubic root of 11032 is about 22.2613458946.

Adding to 11032 its reverse (23011), we get a palindrome (34043).

The spelling of 11032 in words is "eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 197 394 788 1379 1576 2758 5516 11032