13829130 has 112 divisors (see below), whose sum is σ = 42810624. Its totient is φ = 3149280.

The previous prime is 13829129. The next prime is 13829149. The reversal of 13829130 is 3192831.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13829094 and 13829103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50895 + ... + 51165.

Almost surely, 2^13829130 is an apocalyptic number.

13829130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405312).

13829130 is an abundant number, since it is smaller than the sum of its proper divisors (28981494).

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

13829130 is an equidigital number, since it uses as much as digits as its factorization.

13829130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13829130 is about 3718.7538235274. The cubic root of 13829130 is about 240.0296838285.

The spelling of 13829130 in words is "thirteen million, eight hundred twenty-nine thousand, one hundred thirty".