7138980 has 72 divisors (see below), whose sum is σ = 22938552. Its totient is φ = 1790976.

The previous prime is 7138973. The next prime is 7138981. The reversal of 7138980 is 898317.

It can be written as a sum of positive squares in 4 ways, for example, as 1028196 + 6110784 = 1014^2 + 2472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7138981) 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 23 ways as a sum of consecutive naturals, for example, 1894 + ... + 4226.

It is an arithmetic number, because the mean of its divisors is an integer number (318591).

Almost surely, 2^7138980 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 7138980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469276).

7138980 is an abundant number, since it is smaller than the sum of its proper divisors (15799572).

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

7138980 is a wasteful number, since it uses less digits than its factorization.

7138980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7138980 is about 2671.8869736574. The cubic root of 7138980 is about 192.5508270801.

It can be divided in two parts, 7138 and 980, that added together give a palindrome (8118).

The spelling of 7138980 in words is "seven million, one hundred thirty-eight thousand, nine hundred eighty".