42382120 has 32 divisors (see below), whose sum is σ = 104029920. Its totient is φ = 15411520.

The previous prime is 42382117. The next prime is 42382181. The reversal of 42382120 is 2128324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42382091 and 42382100.

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 7 ways as a sum of consecutive naturals, for example, 47722 + ... + 48601.

It is an arithmetic number, because the mean of its divisors is an integer number (3250935).

Almost surely, 2^42382120 is an apocalyptic number.

42382120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42382120 is an abundant number, since it is smaller than the sum of its proper divisors (61647800).

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

42382120 is a wasteful number, since it uses less digits than its factorization.

42382120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96345 (or 96341 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42382120 is about 6510.1551440807. The cubic root of 42382120 is about 348.6536576073.

The spelling of 42382120 in words is "forty-two million, three hundred eighty-two thousand, one hundred twenty".