13429920 has 144 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 3064320.

The previous prime is 13429909. The next prime is 13429931. The reversal of 13429920 is 2992431.

It is an interprime number because it is at equal distance from previous prime (13429909) and next prime (13429931).

It is a hoax number, since the sum of its digits (30) 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 (30).

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 23 ways as a sum of consecutive naturals, for example, 23235 + ... + 23805.

It is an arithmetic number, because the mean of its divisors is an integer number (342342).

Almost surely, 2^13429920 is an apocalyptic number.

13429920 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 13429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).

13429920 is an abundant number, since it is smaller than the sum of its proper divisors (35867328).

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

13429920 is a wasteful number, since it uses less digits than its factorization.

13429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13429920 is about 3664.6855253896. The cubic root of 13429920 is about 237.6974240250.

The spelling of 13429920 in words is "thirteen million, four hundred twenty-nine thousand, nine hundred twenty".