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11124000 = 253353103
BaseRepresentation
bin101010011011…
…110100100000
3202221011021000
4222123310200
510321432000
61034232000
7163360326
oct52336440
922834230
1011124000
116308698
123885600
1323c6364
141697d16
15e9b000
hexa9bd20

11124000 has 192 divisors, whose sum is σ = 40884480. Its totient is φ = 2937600.

The previous prime is 11123963. The next prime is 11124053. The reversal of 11124000 is 42111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107949 + ... + 108051.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 211124000 is an apocalyptic number.

11124000 is a gapful number since it is divisible by the number (10) 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 11124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

11124000 is an abundant number, since it is smaller than the sum of its proper divisors (29760480).

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

11124000 is a wasteful number, since it uses less digits than its factorization.

11124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

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

The square root of 11124000 is about 3335.2661063250. The cubic root of 11124000 is about 223.2305658221.

Adding to 11124000 its reverse (42111), we get a palindrome (11166111).

The spelling of 11124000 in words is "eleven million, one hundred twenty-four thousand".