13930160 has 80 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 5222400.

The previous prime is 13930127. The next prime is 13930177. The reversal of 13930160 is 6103931.

13930160 = T₄₉₀ + T₄₉₁ + ... + T₅₈₅.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 101612 + ... + 101748.

Almost surely, 2^13930160 is an apocalyptic number.

13930160 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 13930160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

13930160 is an abundant number, since it is smaller than the sum of its proper divisors (20567632).

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

13930160 is a wasteful number, since it uses less digits than its factorization.

13930160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 13930160 is about 3732.3129557956. The cubic root of 13930160 is about 240.6127859095.

The spelling of 13930160 in words is "thirteen million, nine hundred thirty thousand, one hundred sixty".