30093920 has 48 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 11934720.

The previous prime is 30093887. The next prime is 30093949. The reversal of 30093920 is 2939003.

It is a self number, because there is not a number n which added to its sum of digits gives 30093920.

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 7 ways as a sum of consecutive naturals, for example, 19580 + ... + 21060.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^30093920 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 30093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

30093920 is an abundant number, since it is smaller than the sum of its proper divisors (41611168).

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

30093920 is a wasteful number, since it uses less digits than its factorization.

30093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 30093920 is about 5485.7925589654. The cubic root of 30093920 is about 311.0471697769.

It can be divided in two parts, 30093 and 920, that added together give a palindrome (31013).

The spelling of 30093920 in words is "thirty million, ninety-three thousand, nine hundred twenty".