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14028 = 2237167
BaseRepresentation
bin11011011001100
3201020120
43123030
5422103
6144540
755620
oct33314
921216
1014028
11a5a3
128150
136501
145180
154253
hex36cc

14028 has 24 divisors (see below), whose sum is σ = 37632. Its totient is φ = 3984.

The previous prime is 14011. The next prime is 14029. The reversal of 14028 is 82041.

14028 is a nontrivial binomial coefficient, being equal to C(168, 2).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13998 and 14016.

It is not an unprimeable number, because it can be changed into a prime (14029) 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, 1 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1568).

214028 is an apocalyptic number.

14028 is the 167-th triangular number and also the 84-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816).

14028 is an abundant number, since it is smaller than the sum of its proper divisors (23604).

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

14028 is a wasteful number, since it uses less digits than its factorization.

14028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

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

The square root of 14028 is about 118.4398581559. The cubic root of 14028 is about 24.1174795570.

Adding to 14028 its reverse (82041), we get a palindrome (96069).

The spelling of 14028 in words is "fourteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 2004 2338 3507 4676 7014 14028