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11148 = 223929
BaseRepresentation
bin10101110001100
3120021220
42232030
5324043
6123340
744334
oct25614
916256
1011148
118415
126550
1350c7
1440c4
153483
hex2b8c

11148 has 12 divisors (see below), whose sum is σ = 26040. Its totient is φ = 3712.

The previous prime is 11131. The next prime is 11149. The reversal of 11148 is 84111.

11148 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 (12).

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (11149) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 453 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (2170).

211148 is an apocalyptic number.

It is an amenable number.

11148 is an abundant number, since it is smaller than the sum of its proper divisors (14892).

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 (13020).

11148 is a wasteful number, since it uses less digits than its factorization.

11148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 11148 is about 105.5840897105. The cubic root of 11148 is about 22.3390990287.

Adding to 11148 its reverse (84111), we get a palindrome (95259).

The spelling of 11148 in words is "eleven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 929 1858 2787 3716 5574 11148