13800042 has 24 divisors (see below), whose sum is σ = 31474560. Its totient is φ = 4357800.

The previous prime is 13800019. The next prime is 13800049. The reversal of 13800042 is 24000831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13799988 and 13800024.

It is not an unprimeable number, because it can be changed into a prime (13800049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19834 + ... + 20517.

It is an arithmetic number, because the mean of its divisors is an integer number (1311440).

Almost surely, 2^13800042 is an apocalyptic number.

13800042 is an abundant number, since it is smaller than the sum of its proper divisors (17674518).

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

13800042 is a wasteful number, since it uses less digits than its factorization.

13800042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40378 (or 40375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13800042 is about 3714.8407772070. The cubic root of 13800042 is about 239.8612739950.

Adding to 13800042 its reverse (24000831), we get a palindrome (37800873).

The spelling of 13800042 in words is "thirteen million, eight hundred thousand, forty-two".