10413520 has 160 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3317760.

The previous prime is 10413517. The next prime is 10413541. The reversal of 10413520 is 2531401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10413494 and 10413503.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 335905 + ... + 335935.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^10413520 is an apocalyptic number.

10413520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10413520 is the 2635-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

10413520 is an abundant number, since it is smaller than the sum of its proper divisors (19584560).

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

10413520 is a wasteful number, since it uses less digits than its factorization.

10413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10413520 is about 3226.9986055157. The cubic root of 10413520 is about 218.3731230371.

Adding to 10413520 its reverse (2531401), we get a palindrome (12944921).

The spelling of 10413520 in words is "ten million, four hundred thirteen thousand, five hundred twenty".