3005140 has 48 divisors (see below), whose sum is σ = 6741504. Its totient is φ = 1123200.

The previous prime is 3005131. The next prime is 3005147. The reversal of 3005140 is 415003.

It is a self number, because there is not a number n which added to its sum of digits gives 3005140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22875 + ... + 23005.

It is an arithmetic number, because the mean of its divisors is an integer number (140448).

Almost surely, 2^3005140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370752).

3005140 is an abundant number, since it is smaller than the sum of its proper divisors (3736364).

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

3005140 is a wasteful number, since it uses less digits than its factorization.

3005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3005140 is about 1733.5339627478. The cubic root of 3005140 is about 144.3072785094.

The spelling of 3005140 in words is "three million, five thousand, one hundred forty".