30057000 has 128 divisors (see below), whose sum is σ = 96370560. Its totient is φ = 7795200.

The previous prime is 30056981. The next prime is 30057007. The reversal of 30057000 is 75003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (30057007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128884 + ... + 129116.

It is an arithmetic number, because the mean of its divisors is an integer number (752895).

Almost surely, 2^30057000 is an apocalyptic number.

30057000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48185280).

30057000 is an abundant number, since it is smaller than the sum of its proper divisors (66313560).

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

30057000 is a wasteful number, since it uses less digits than its factorization.

30057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 30057000 is about 5482.4264700952. The cubic root of 30057000 is about 310.9199174843.

The spelling of 30057000 in words is "thirty million, fifty-seven thousand".