30132300 has 144 divisors (see below), whose sum is σ = 99493632. Its totient is φ = 6969600.

The previous prime is 30132269. The next prime is 30132359. The reversal of 30132300 is 323103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75702 + ... + 76098.

It is an arithmetic number, because the mean of its divisors is an integer number (690928).

Almost surely, 2^30132300 is an apocalyptic number.

30132300 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 30132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49746816).

30132300 is an abundant number, since it is smaller than the sum of its proper divisors (69361332).

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

30132300 is a wasteful number, since it uses less digits than its factorization.

30132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 30132300 is about 5489.2895715202. The cubic root of 30132300 is about 311.1793439721.

Adding to 30132300 its reverse (323103), we get a palindrome (30455403).

The spelling of 30132300 in words is "thirty million, one hundred thirty-two thousand, three hundred".