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28260 = 22325157
BaseRepresentation
bin110111001100100
31102202200
412321210
51401020
6334500
7145251
oct67144
942680
1028260
111a261
1214430
13cb2b
14a428
158590
hex6e64

28260 has 36 divisors (see below), whose sum is σ = 86268. Its totient is φ = 7488.

The previous prime is 28229. The next prime is 28277. The reversal of 28260 is 6282.

28260 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 19044 = 96^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 22 + 84 + 214 + 65 + 0 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28260.

It is an unprimeable number.

28260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 258.

228260 is an apocalyptic number.

28260 is a gapful number since it is divisible by the number (20) 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 28260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43134).

28260 is an abundant number, since it is smaller than the sum of its proper divisors (58008).

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

28260 is a wasteful number, since it uses less digits than its factorization.

28260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28260 is about 168.1071087135. The cubic root of 28260 is about 30.4595899486.

The spelling of 28260 in words is "twenty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260