30133824 has 84 divisors (see below), whose sum is σ = 92775024. Its totient is φ = 8606976.

The previous prime is 30133801. The next prime is 30133847. The reversal of 30133824 is 42833103.

It is an interprime number because it is at equal distance from previous prime (30133801) and next prime (30133847).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30133794 and 30133803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7807 + ... + 11009.

Almost surely, 2^30133824 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 30133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46387512).

30133824 is an abundant number, since it is smaller than the sum of its proper divisors (62641200).

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

30133824 is a wasteful number, since it uses less digits than its factorization.

30133824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30133824 is about 5489.4283855425. The cubic root of 30133824 is about 311.1845900516.

Adding to 30133824 its reverse (42833103), we get a palindrome (72966927).

The spelling of 30133824 in words is "thirty million, one hundred thirty-three thousand, eight hundred twenty-four".