13124540 has 72 divisors (see below), whose sum is σ = 32650128. Its totient is φ = 4392960.

The previous prime is 13124533. The next prime is 13124543. The reversal of 13124540 is 4542131.

13124540 = 561² + 562² + ... + 599².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37004 + ... + 37356.

It is an arithmetic number, because the mean of its divisors is an integer number (453474).

Almost surely, 2^13124540 is an apocalyptic number.

13124540 is a gapful number since it is divisible by the number (10) 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 13124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325064).

13124540 is an abundant number, since it is smaller than the sum of its proper divisors (19525588).

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

13124540 is a wasteful number, since it uses less digits than its factorization.

13124540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 13124540 is about 3622.7806999596. The cubic root of 13124540 is about 235.8819432513.

Adding to 13124540 its reverse (4542131), we get a palindrome (17666671).

The spelling of 13124540 in words is "thirteen million, one hundred twenty-four thousand, five hundred forty".