42013020 has 96 divisors (see below), whose sum is σ = 136539648. Its totient is φ = 9453312.

The previous prime is 42013007. The next prime is 42013031. The reversal of 42013020 is 2031024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42012987 and 42013005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27394 + ... + 28886.

It is an arithmetic number, because the mean of its divisors is an integer number (1422288).

Almost surely, 2^42013020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68269824).

42013020 is an abundant number, since it is smaller than the sum of its proper divisors (94526628).

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

42013020 is a wasteful number, since it uses less digits than its factorization.

42013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42013020 is about 6481.7451353783. The cubic root of 42013020 is about 347.6385797197.

Adding to 42013020 its reverse (2031024), we get a palindrome (44044044).

The spelling of 42013020 in words is "forty-two million, thirteen thousand, twenty".