30142880 has 48 divisors (see below), whose sum is σ = 74317824. Its totient is φ = 11531520.

The previous prime is 30142867. The next prime is 30142883. The reversal of 30142880 is 8824103.

It is not an unprimeable number, because it can be changed into a prime (30142883) 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 7 ways as a sum of consecutive naturals, for example, 416 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1548288).

Almost surely, 2^30142880 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 30142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37158912).

30142880 is an abundant number, since it is smaller than the sum of its proper divisors (44174944).

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

30142880 is a wasteful number, since it uses less digits than its factorization.

30142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 30142880 is about 5490.2531817759. The cubic root of 30142880 is about 311.2157599577.

Adding to 30142880 its reverse (8824103), we get a palindrome (38966983).

The spelling of 30142880 in words is "thirty million, one hundred forty-two thousand, eight hundred eighty".