30133320 has 128 divisors (see below), whose sum is σ = 106963200. Its totient is φ = 6644736.

The previous prime is 30133307. The next prime is 30133357. The reversal of 30133320 is 2333103.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30133320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23742 + ... + 24978.

It is an arithmetic number, because the mean of its divisors is an integer number (835650).

Almost surely, 2^30133320 is an apocalyptic number.

30133320 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 30133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53481600).

30133320 is an abundant number, since it is smaller than the sum of its proper divisors (76829880).

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

30133320 is a wasteful number, since it uses less digits than its factorization.

30133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 30133320 is about 5489.3824789315. The cubic root of 30133320 is about 311.1828551473.

Adding to 30133320 its reverse (2333103), we get a palindrome (32466423).

The spelling of 30133320 in words is "thirty million, one hundred thirty-three thousand, three hundred twenty".