13829140 has 24 divisors (see below), whose sum is σ = 31275720. Its totient is φ = 5106048.

The previous prime is 13829129. The next prime is 13829149. The reversal of 13829140 is 4192831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 11262736 = 1602^2 + 3356^2 .

It is a super-2 number, since 2×13829140² = 382490226279200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13829099 and 13829108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26335 + ... + 26854.

It is an arithmetic number, because the mean of its divisors is an integer number (1303155).

Almost surely, 2^13829140 is an apocalyptic number.

13829140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13829140 is an abundant number, since it is smaller than the sum of its proper divisors (17446580).

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

13829140 is a wasteful number, since it uses less digits than its factorization.

13829140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53211 (or 53209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 13829140 is about 3718.7551680636. The cubic root of 13829140 is about 240.0297416845.

The spelling of 13829140 in words is "thirteen million, eight hundred twenty-nine thousand, one hundred forty".