5413140 has 144 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1290240.

The previous prime is 5413129. The next prime is 5413147. The reversal of 5413140 is 413145.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 242064 + 5171076 = 492^2 + 2274^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88710 + ... + 88770.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^5413140 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 5413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5413140 is an abundant number, since it is smaller than the sum of its proper divisors (12866940).

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

5413140 is a wasteful number, since it uses less digits than its factorization.

5413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5413140 is about 2326.6155677292. The cubic root of 5413140 is about 175.5832512223.

Adding to 5413140 its reverse (413145), we get a palindrome (5826285).

The spelling of 5413140 in words is "five million, four hundred thirteen thousand, one hundred forty".