30082000 has 120 divisors (see below), whose sum is σ = 79648920. Its totient is φ = 10982400.

The previous prime is 30081991. The next prime is 30082037. The reversal of 30082000 is 28003.

It can be written as a sum of positive squares in 12 ways, for example, as 30074256 + 7744 = 5484^2 + 88^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 337956 + ... + 338044.

It is an arithmetic number, because the mean of its divisors is an integer number (663741).

Almost surely, 2^30082000 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 30082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39824460).

30082000 is an abundant number, since it is smaller than the sum of its proper divisors (49566920).

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

30082000 is a wasteful number, since it uses less digits than its factorization.

30082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 30082000 is about 5484.7060085295. The cubic root of 30082000 is about 311.0060964538.

The spelling of 30082000 in words is "thirty million, eighty-two thousand".