Search a number
-
+
13930 = 257199
BaseRepresentation
bin11011001101010
3201002221
43121222
5421210
6144254
755420
oct33152
921087
1013930
11a514
12808a
136457
145110
1541da
hex366a

13930 has 16 divisors (see below), whose sum is σ = 28800. Its totient is φ = 4752.

The previous prime is 13921. The next prime is 13931. The reversal of 13930 is 3931.

It is a happy number.

It is a plaindrome in base 16.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13931) 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, 30 + ... + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

13930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13930 is an abundant number, since it is smaller than the sum of its proper divisors (14870).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

13930 is a wasteful number, since it uses less digits than its factorization.

13930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 13930 is about 118.0254209906. The cubic root of 13930 is about 24.0611864690.

Subtracting from 13930 its reverse (3931), we obtain a palindrome (9999).

It can be divided in two parts, 139 and 30, that added together give a square (169 = 132).

The spelling of 13930 in words is "thirteen thousand, nine hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 199 398 995 1393 1990 2786 6965 13930