10413320 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 3915520.

The previous prime is 10413313. The next prime is 10413331. The reversal of 10413320 is 2331401.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10413295 and 10413304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54425 + ... + 54615.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 2^10413320 is an apocalyptic number.

10413320 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 10413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

10413320 is an abundant number, since it is smaller than the sum of its proper divisors (14469880).

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

10413320 is a wasteful number, since it uses less digits than its factorization.

10413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10413320 is about 3226.9676168192. The cubic root of 10413320 is about 218.3717250179.

Adding to 10413320 its reverse (2331401), we get a palindrome (12744721).

It can be divided in two parts, 104 and 13320, that multiplied together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 10413320 in words is "ten million, four hundred thirteen thousand, three hundred twenty".