30293820 has 144 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 7603200.

The previous prime is 30293819. The next prime is 30293821. The reversal of 30293820 is 2839203.

It is an interprime number because it is at equal distance from previous prime (30293819) and next prime (30293821).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30293821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340336 + ... + 340424.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^30293820 is an apocalyptic number.

30293820 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 30293820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

30293820 is an abundant number, since it is smaller than the sum of its proper divisors (67199940).

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

30293820 is a wasteful number, since it uses less digits than its factorization.

30293820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30293820 is about 5503.9821947386. The cubic root of 30293820 is about 311.7343646332.

It can be divided in two parts, 30293 and 820, that added together give a palindrome (31113).

The spelling of 30293820 in words is "thirty million, two hundred ninety-three thousand, eight hundred twenty".