30001020 has 96 divisors (see below), whose sum is σ = 97660416. Its totient is φ = 6739200.

The previous prime is 30001009. The next prime is 30001031. The reversal of 30001020 is 2010003.

It is an interprime number because it is at equal distance from previous prime (30001009) and next prime (30001031).

It is a super-2 number, since 2×30001020² = 1800122402080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25035 + ... + 26205.

It is an arithmetic number, because the mean of its divisors is an integer number (1017296).

Almost surely, 2^30001020 is an apocalyptic number.

30001020 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 30001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48830208).

30001020 is an abundant number, since it is smaller than the sum of its proper divisors (67659396).

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

30001020 is a wasteful number, since it uses less digits than its factorization.

30001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 30001020 is about 5477.3186870950. The cubic root of 30001020 is about 310.7267720856.

Adding to 30001020 its reverse (2010003), we get a palindrome (32011023).

The spelling of 30001020 in words is "thirty million, one thousand, twenty".