24142000 has 40 divisors (see below), whose sum is σ = 58380192. Its totient is φ = 9656000.

The previous prime is 24141991. The next prime is 24142009. The reversal of 24142000 is 24142.

It is an interprime number because it is at equal distance from previous prime (24141991) and next prime (24142009).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (24142009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4036 + ... + 8035.

Almost surely, 2^24142000 is an apocalyptic number.

24142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24142000 is an abundant number, since it is smaller than the sum of its proper divisors (34238192).

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

24142000 is a wasteful number, since it uses less digits than its factorization.

24142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12094 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 24142000 is about 4913.4509257751. The cubic root of 24142000 is about 289.0176830932.

Adding to 24142000 its reverse (24142), we get a palindrome (24166142).

24142000 divided by its reverse (24142) gives a cube (1000 = 10³).

The spelling of 24142000 in words is "twenty-four million, one hundred forty-two thousand".