30142320 has 80 divisors (see below), whose sum is σ = 100639392. Its totient is φ = 7418880.

The previous prime is 30142313. The next prime is 30142361. The reversal of 30142320 is 2324103.

30142320 = T₄₃₁ + T₄₃₂ + ... + T₆₃₈.

It is a tau number, because it is divible by the number of its divisors (80).

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 30142320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711 + ... + 7950.

Almost surely, 2^30142320 is an apocalyptic number.

30142320 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 30142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319696).

30142320 is an abundant number, since it is smaller than the sum of its proper divisors (70497072).

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

30142320 is a wasteful number, since it uses less digits than its factorization.

30142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30142320 is about 5490.2021820694. The cubic root of 30142320 is about 311.2138326711.

Adding to 30142320 its reverse (2324103), we get a palindrome (32466423).

The spelling of 30142320 in words is "thirty million, one hundred forty-two thousand, three hundred twenty".