30180900 has 72 divisors (see below), whose sum is σ = 89716480. Its totient is φ = 7827840.

The previous prime is 30180889. The next prime is 30180929. The reversal of 30180900 is 908103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9741 + ... + 12459.

Almost surely, 2^30180900 is an apocalyptic number.

30180900 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 30180900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44858240).

30180900 is an abundant number, since it is smaller than the sum of its proper divisors (59535580).

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

30180900 is a wasteful number, since it uses less digits than its factorization.

30180900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 30180900 is about 5493.7145903296. The cubic root of 30180900 is about 311.3465531647.

The spelling of 30180900 in words is "thirty million, one hundred eighty thousand, nine hundred".