42030 has 24 divisors (see below), whose sum is σ = 109512. Its totient is φ = 11184.

The previous prime is 42023. The next prime is 42043. The reversal of 42030 is 3024.

42030 = 101² + 102² + ... + 104².

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42030.

It is an unprimeable number.

42030 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 144 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (4563).

2⁴²⁰³⁰ is an apocalyptic number.

42030 is an abundant number, since it is smaller than the sum of its proper divisors (67482).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54756).

42030 is a wasteful number, since it uses less digits than its factorization.

42030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

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

The square root of 42030 is about 205.0121947592. The cubic root of 42030 is about 34.7685407330.

Adding to 42030 its reverse (3024), we get a palindrome (45054).

The spelling of 42030 in words is "forty-two thousand, thirty", and thus it is an eban number.