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24144 = 243503

24144 has 20 divisors (see below), whose sum is σ = 62496. Its totient is φ = 8032.

The previous prime is 24137. The next prime is 24151. The reversal of 24144 is 44142.

It is an interprime number because it is at equal distance from previous prime (24137) and next prime (24151).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

24144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 204 + ... + 299.

224144 is an apocalyptic number.

24144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24144 is an abundant number, since it is smaller than the sum of its proper divisors (38352).

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 (31248).

24144 is a wasteful number, since it uses less digits than its factorization.

24144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 24144 is about 155.3833967964. The cubic root of 24144 is about 28.9025663921.

Adding to 24144 its reverse (44142), we get a palindrome (68286).

The spelling of 24144 in words is "twenty-four thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 503 1006 1509 2012 3018 4024 6036 8048 12072 24144