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24990 = 2357217

24990 has 48 divisors (see below), whose sum is σ = 73872. Its totient is φ = 5376.

The previous prime is 24989. The next prime is 25013. The reversal of 24990 is 9942.

24990 is an undulating number in base 13.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 24990.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (1539).

224990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36936).

24990 is an abundant number, since it is smaller than the sum of its proper divisors (48882).

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

24990 is a wasteful number, since it uses less digits than its factorization.

24990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 24990 is about 158.0822570689. The cubic root of 24990 is about 29.2362781719.

Subtracting from 24990 its product of nonzero digits (648), we obtain a palindrome (24342).

The spelling of 24990 in words is "twenty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 833 1190 1470 1666 1785 2499 3570 4165 4998 8330 12495 24990