30903120 has 200 divisors, whose sum is σ = 113430240. Its totient is φ = 7776000.

The previous prime is 30903113. The next prime is 30903143. The reversal of 30903120 is 2130903.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30903093 and 30903102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122995 + ... + 123245.

Almost surely, 2^30903120 is an apocalyptic number.

30903120 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 30903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120).

30903120 is an abundant number, since it is smaller than the sum of its proper divisors (82527120).

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

30903120 is a wasteful number, since it uses less digits than its factorization.

30903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30903120 is about 5559.0574740688. The cubic root of 30903120 is about 313.8104797088.

The spelling of 30903120 in words is "thirty million, nine hundred three thousand, one hundred twenty".