30055116 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 7455744.

The previous prime is 30055111. The next prime is 30055139. The reversal of 30055116 is 61155003.

30055116 = T₁₂₅ + T₁₂₆ + ... + T₅₆₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30055092 and 30055101.

It is not an unprimeable number, because it can be changed into a prime (30055111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17755 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^30055116 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 30055116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

30055116 is an abundant number, since it is smaller than the sum of its proper divisors (61390644).

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

30055116 is a wasteful number, since it uses less digits than its factorization.

30055116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 30055116 is about 5482.2546456727. The cubic root of 30055116 is about 310.9134211011.

The spelling of 30055116 in words is "thirty million, fifty-five thousand, one hundred sixteen".