30393120 has 96 divisors (see below), whose sum is σ = 99937152. Its totient is φ = 7749632.

The previous prime is 30393101. The next prime is 30393149. The reversal of 30393120 is 2139303.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9664 + ... + 12416.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012).

Almost surely, 2^30393120 is an apocalyptic number.

30393120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49968576).

30393120 is an abundant number, since it is smaller than the sum of its proper divisors (69544032).

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

30393120 is a wasteful number, since it uses less digits than its factorization.

30393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 30393120 is about 5512.9955559569. The cubic root of 30393120 is about 312.0746041188.

The spelling of 30393120 in words is "thirty million, three hundred ninety-three thousand, one hundred twenty".