30148020 has 144 divisors (see below), whose sum is σ = 106299648. Its totient is φ = 6773760.

The previous prime is 30147989. The next prime is 30148067. The reversal of 30148020 is 2084103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30147984 and 30148002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89292 + ... + 89628.

It is an arithmetic number, because the mean of its divisors is an integer number (738192).

Almost surely, 2^30148020 is an apocalyptic number.

30148020 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 30148020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53149824).

30148020 is an abundant number, since it is smaller than the sum of its proper divisors (76151628).

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

30148020 is a wasteful number, since it uses less digits than its factorization.

30148020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30148020 is about 5490.7212640964. The cubic root of 30148020 is about 311.2334485803.

The spelling of 30148020 in words is "thirty million, one hundred forty-eight thousand, twenty".