13800040 has 16 divisors (see below), whose sum is σ = 31050180. Its totient is φ = 5520000.

The previous prime is 13800019. The next prime is 13800049. The reversal of 13800040 is 4000831.

It can be written as a sum of positive squares in 2 ways, for example, as 13586596 + 213444 = 3686^2 + 462^2 .

It is a super-2 number, since 2×13800040² = 380882208003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13799987 and 13800023.

It is not an unprimeable number, because it can be changed into a prime (13800049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172461 + ... + 172540.

Almost surely, 2^13800040 is an apocalyptic number.

13800040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13800040 is an abundant number, since it is smaller than the sum of its proper divisors (17250140).

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

13800040 is a wasteful number, since it uses less digits than its factorization.

13800040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345012 (or 345008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13800040 is about 3714.8405080165. The cubic root of 13800040 is about 239.8612624075.

Adding to 13800040 its reverse (4000831), we get a palindrome (17800871).

The spelling of 13800040 in words is "thirteen million, eight hundred thousand, forty".