24140 has 24 divisors (see below), whose sum is σ = 54432. Its totient is φ = 8960.

The previous prime is 24137. The next prime is 24151. The reversal of 24140 is 4142.

24140 is an undulating number in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2²⁴¹⁴⁰ is an apocalyptic number.

24140 is a gapful number since it is divisible by the number (20) 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 24140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

24140 is an abundant number, since it is smaller than the sum of its proper divisors (30292).

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

24140 is a wasteful number, since it uses less digits than its factorization.

24140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 24140 is about 155.3705248752. The cubic root of 24140 is about 28.9009701825.

Adding to 24140 its reverse (4142), we get a palindrome (28282).

The spelling of 24140 in words is "twenty-four thousand, one hundred forty", and thus it is an iban number.