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11124 = 2233103
BaseRepresentation
bin10101101110100
3120021000
42231310
5323444
6123300
744301
oct25564
916230
1011124
1183a3
126530
1350a9
1440a8
153469
hex2b74

11124 has 24 divisors (see below), whose sum is σ = 29120. Its totient is φ = 3672.

The previous prime is 11119. The next prime is 11131. The reversal of 11124 is 42111.

It is a happy number.

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.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 12.

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, 57 + ... + 159.

211124 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 11124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560).

11124 is an abundant number, since it is smaller than the sum of its proper divisors (17996).

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

11124 is a wasteful number, since it uses less digits than its factorization.

11124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 11124 is about 105.4703749875. The cubic root of 11124 is about 22.3230565822.

Adding to 11124 its reverse (42111), we get a palindrome (53235).

The spelling of 11124 in words is "eleven thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124