30945180 has 48 divisors (see below), whose sum is σ = 99025920. Its totient is φ = 7073088.

The previous prime is 30945179. The next prime is 30945181. The reversal of 30945180 is 8154903.

It is an interprime number because it is at equal distance from previous prime (30945179) and next prime (30945181).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30945181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36420 + ... + 37259.

It is an arithmetic number, because the mean of its divisors is an integer number (2063040).

Almost surely, 2^30945180 is an apocalyptic number.

30945180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30945180 is an abundant number, since it is smaller than the sum of its proper divisors (68080740).

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

30945180 is a wasteful number, since it uses less digits than its factorization.

30945180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73698 (or 73696 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 30945180 is about 5562.8392031408. The cubic root of 30945180 is about 313.9527834125.

It can be divided in two parts, 30945 and 180, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 30945180 in words is "thirty million, nine hundred forty-five thousand, one hundred eighty".