30186144 has 72 divisors (see below), whose sum is σ = 86378292. Its totient is φ = 9999360.

The previous prime is 30186139. The next prime is 30186161. The reversal of 30186144 is 44168103.

30186144 is a `hidden beast` number, since 30 + 18 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 374544 = 5460^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×30186144² = 1822406579177472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80742 + ... + 81114.

Almost surely, 2^30186144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30186144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43189146).

30186144 is an abundant number, since it is smaller than the sum of its proper divisors (56192148).

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

30186144 is a wasteful number, since it uses less digits than its factorization.

30186144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30186144 is about 5494.1918423004. The cubic root of 30186144 is about 311.3645845109.

The spelling of 30186144 in words is "thirty million, one hundred eighty-six thousand, one hundred forty-four".