13820500 has 48 divisors (see below), whose sum is σ = 30558528. Its totient is φ = 5460000.

The previous prime is 13820489. The next prime is 13820503. The reversal of 13820500 is 502831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820503) by changing a digit.

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, 65395 + ... + 65605.

It is an arithmetic number, because the mean of its divisors is an integer number (636636).

Almost surely, 2^13820500 is an apocalyptic number.

13820500 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 13820500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279264).

13820500 is an abundant number, since it is smaller than the sum of its proper divisors (16738028).

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

13820500 is a wasteful number, since it uses less digits than its factorization.

13820500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13820500 is about 3717.5933075042. The cubic root of 13820500 is about 239.9797436608.

The spelling of 13820500 in words is "thirteen million, eight hundred twenty thousand, five hundred".