30001140 has 72 divisors (see below), whose sum is σ = 98011368. Its totient is φ = 7384320.

The previous prime is 30001123. The next prime is 30001151. The reversal of 30001140 is 4110003.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 29354724 = 804^2 + 5418^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4071 + ... + 8750.

It is an arithmetic number, because the mean of its divisors is an integer number (1361269).

Almost surely, 2^30001140 is an apocalyptic number.

30001140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30001140 is an abundant number, since it is smaller than the sum of its proper divisors (68010228).

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

30001140 is a wasteful number, since it uses less digits than its factorization.

30001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12849 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30001140 is about 5477.3296413490. The cubic root of 30001140 is about 310.7271863734.

Adding to 30001140 its reverse (4110003), we get a palindrome (34111143).

The spelling of 30001140 in words is "thirty million, one thousand, one hundred forty".