42082020 has 72 divisors (see below), whose sum is σ = 128189880. Its totient is φ = 11174400.

The previous prime is 42082003. The next prime is 42082037. The reversal of 42082020 is 2028024.

It is an interprime number because it is at equal distance from previous prime (42082003) and next prime (42082037).

It can be written as a sum of positive squares in 4 ways, for example, as 5503716 + 36578304 = 2346^2 + 6048^2 .

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 = 42081984 and 42082002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69720 + ... + 70320.

It is an arithmetic number, because the mean of its divisors is an integer number (1780415).

Almost surely, 2^42082020 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 42082020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64094940).

42082020 is an abundant number, since it is smaller than the sum of its proper divisors (86107860).

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

42082020 is a wasteful number, since it uses less digits than its factorization.

42082020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42082020 is about 6487.0655923923. The cubic root of 42082020 is about 347.8287901375.

The spelling of 42082020 in words is "forty-two million, eighty-two thousand, twenty".