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12024 = 2332167
BaseRepresentation
bin10111011111000
3121111100
42323320
5341044
6131400
750025
oct27370
917440
1012024
119041
126b60
13561c
14454c
153869
hex2ef8

12024 has 24 divisors (see below), whose sum is σ = 32760. Its totient is φ = 3984.

The previous prime is 12011. The next prime is 12037. The reversal of 12024 is 42021.

Adding to 12024 its reverse (42021), we get a palindrome (54045).

It can be divided in two parts, 120 and 24, that added together give a square (144 = 122).

It is an interprime number because it is at equal distance from previous prime (12011) and next prime (12037).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 11997 and 12015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

212024 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 12024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

12024 is an abundant number, since it is smaller than the sum of its proper divisors (20736).

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

12024 is a wasteful number, since it uses less digits than its factorization.

12024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12024 is about 109.6540012950. The cubic root of 12024 is about 22.9095375437.

The spelling of 12024 in words is "twelve thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 12024