10413140 has 48 divisors (see below), whose sum is σ = 23419200. Its totient is φ = 3877632.

The previous prime is 10413131. The next prime is 10413149. The reversal of 10413140 is 4131401.

10413140 = T₁₁₅ + T₁₁₆ + ... + T₃₉₉.

It is a happy number.

10413140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10413131) and next prime (10413149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25256 + ... + 25664.

It is an arithmetic number, because the mean of its divisors is an integer number (487900).

Almost surely, 2^10413140 is an apocalyptic number.

10413140 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 10413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709600).

10413140 is an abundant number, since it is smaller than the sum of its proper divisors (13006060).

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

10413140 is a wasteful number, since it uses less digits than its factorization.

10413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10413140 is about 3226.9397267380. The cubic root of 10413140 is about 218.3704667853.

Adding to 10413140 its reverse (4131401), we get a palindrome (14544541).

The spelling of 10413140 in words is "ten million, four hundred thirteen thousand, one hundred forty".