13048020 has 96 divisors (see below), whose sum is σ = 41274240. Its totient is φ = 3421440.

The previous prime is 13048001. The next prime is 13048033. The reversal of 13048020 is 2084031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13047984 and 13048002.

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 31 ways as a sum of consecutive naturals, for example, 39255 + ... + 39585.

It is an arithmetic number, because the mean of its divisors is an integer number (429940).

Almost surely, 2^13048020 is an apocalyptic number.

13048020 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 13048020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637120).

13048020 is an abundant number, since it is smaller than the sum of its proper divisors (28226220).

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

13048020 is a wasteful number, since it uses less digits than its factorization.

13048020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13048020 is about 3612.2043131584. The cubic root of 13048020 is about 235.4226286462.

The spelling of 13048020 in words is "thirteen million, forty-eight thousand, twenty".