[go: up one dir, main page]

Search a number
-
+
14085 = 325313
BaseRepresentation
bin11011100000101
3201022200
43130011
5422320
6145113
756031
oct33405
921280
1014085
11a645
128199
136546
1451c1
154290
hex3705

14085 has 12 divisors (see below), whose sum is σ = 24492. Its totient is φ = 7488.

The previous prime is 14083. The next prime is 14087. The reversal of 14085 is 58041.

14085 = T48 + T49 + ... + T57.

14085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14083) and next prime (14087).

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 12321 = 42^2 + 111^2 .

It is not a de Polignac number, because 14085 - 21 = 14083 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (2041).

214085 is an apocalyptic number.

14085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14085 is a deficient number, since it is larger than the sum of its proper divisors (10407).

14085 is a wasteful number, since it uses less digits than its factorization.

14085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14085 is about 118.6802426691. The cubic root of 14085 is about 24.1501009473.

Subtracting 14085 from its reverse (58041), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 140 and 85, that added together give a square (225 = 152).

The spelling of 14085 in words is "fourteen thousand, eighty-five".

Divisors: 1 3 5 9 15 45 313 939 1565 2817 4695 14085