13020040 has 64 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 4677120.

The previous prime is 13020037. The next prime is 13020053. The reversal of 13020040 is 4002031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13019999 and 13020026.

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, 55764 + ... + 55996.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 2^13020040 is an apocalyptic number.

13020040 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 13020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

13020040 is an abundant number, since it is smaller than the sum of its proper divisors (19328120).

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

13020040 is a wasteful number, since it uses less digits than its factorization.

13020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13020040 is about 3608.3292532694. The cubic root of 13020040 is about 235.2542291696.

Adding to 13020040 its reverse (4002031), we get a palindrome (17022071).

Subtracting from 13020040 its reverse (4002031), we obtain a square (9018009 = 3003²).

The spelling of 13020040 in words is "thirteen million, twenty thousand, forty".