Search a number
-
+
28014 = 2372329
BaseRepresentation
bin110110101101110
31102102120
412311232
51344024
6333410
7144450
oct66556
942376
1028014
111a058
1214266
13c99c
14a2d0
158479
hex6d6e

28014 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 7392.

The previous prime is 28001. The next prime is 28019. The reversal of 28014 is 41082.

28014 = T30 + T31 + ... + T57.

28014 is nontrivially palindromic in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 27984 and 28002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

228014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

28014 is an abundant number, since it is smaller than the sum of its proper divisors (41106).

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

28014 is a wasteful number, since it uses less digits than its factorization.

28014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 28014 is about 167.3738330803. The cubic root of 28014 is about 30.3709498571.

Adding to 28014 its reverse (41082), we get a palindrome (69096).

The spelling of 28014 in words is "twenty-eight thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 406 483 609 667 966 1218 1334 2001 4002 4669 9338 14007 28014