20042 has 8 divisors (see below), whose sum is σ = 32832. Its totient is φ = 9100.

The previous prime is 20029. The next prime is 20047. The reversal of 20042 is 24002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20042.

It is not an unprimeable number, because it can be changed into a prime (20047) by changing a digit.

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, 434 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2²⁰⁰⁴² is an apocalyptic number.

20042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20042 is a deficient number, since it is larger than the sum of its proper divisors (12790).

20042 is a wasteful number, since it uses less digits than its factorization.

20042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924.

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20042 is about 141.5697707846. The cubic root of 20042 is about 27.1631638041.

Adding to 20042 its reverse (24002), we get a palindrome (44044).

It can be divided in two parts, 200 and 42, that added together give a palindrome (242).

The spelling of 20042 in words is "twenty thousand, forty-two", and thus it is an iban number.