30193920 has 108 divisors (see below), whose sum is σ = 104507676. Its totient is φ = 8048640.

The previous prime is 30193913. The next prime is 30193931. The reversal of 30193920 is 2939103.

30193920 = T₅₄ + T₅₅ + ... + T₅₆₅.

It can be written as a sum of positive squares in 2 ways, for example, as 18249984 + 11943936 = 4272^2 + 3456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10210 + ... + 12830.

Almost surely, 2^30193920 is an apocalyptic number.

30193920 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 30193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52253838).

30193920 is an abundant number, since it is smaller than the sum of its proper divisors (74313756).

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

30193920 is a wasteful number, since it uses less digits than its factorization.

30193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30193920 is about 5494.8994531292. The cubic root of 30193920 is about 311.3913182240.

It can be divided in two parts, 30193 and 920, that added together give a palindrome (31113).

The spelling of 30193920 in words is "thirty million, one hundred ninety-three thousand, nine hundred twenty".