30839130 has 192 divisors, whose sum is σ = 99590400. Its totient is φ = 6858432.

The previous prime is 30839119. The next prime is 30839131. The reversal of 30839130 is 3193803.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30839094 and 30839103.

It is not an unprimeable number, because it can be changed into a prime (30839131) 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 95 ways as a sum of consecutive naturals, for example, 833472 + ... + 833508.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 2^30839130 is an apocalyptic number.

30839130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30839130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

30839130 is an abundant number, since it is smaller than the sum of its proper divisors (68751270).

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

30839130 is an equidigital number, since it uses as much as digits as its factorization.

30839130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30839130 is about 5553.2990195018. The cubic root of 30839130 is about 313.5937312735.

It can be divided in two parts, 30 and 839130, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 30839130 in words is "thirty million, eight hundred thirty-nine thousand, one hundred thirty".