30841920 has 84 divisors (see below), whose sum is σ = 106093260. Its totient is φ = 8223744.

The previous prime is 30841913. The next prime is 30841933. The reversal of 30841920 is 2914803.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 8714304 = 4704^2 + 2952^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 2475 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015).

Almost surely, 2^30841920 is an apocalyptic number.

30841920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30841920 is an abundant number, since it is smaller than the sum of its proper divisors (75251340).

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

30841920 is a wasteful number, since it uses less digits than its factorization.

30841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30841920 is about 5553.5502158529. The cubic root of 30841920 is about 313.6031878754.

The spelling of 30841920 in words is "thirty million, eight hundred forty-one thousand, nine hundred twenty".