24030 has 32 divisors (see below), whose sum is σ = 64800. Its totient is φ = 6336.

The previous prime is 24029. The next prime is 24043. The reversal of 24030 is 3042.

24030 = 76² + 77² + ... + 79².

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

It is a plaindrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 226 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2²⁴⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400).

24030 is an abundant number, since it is smaller than the sum of its proper divisors (40770).

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

24030 is a wasteful number, since it uses less digits than its factorization.

24030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 24030 is about 155.0161281932. The cubic root of 24030 is about 28.8570051482.

Adding to 24030 its reverse (3042), we get a palindrome (27072).

The spelling of 24030 in words is "twenty-four thousand, thirty".