10280 has 16 divisors (see below), whose sum is σ = 23220. Its totient is φ = 4096.

The previous prime is 10273. The next prime is 10289. The reversal of 10280 is 8201.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 676 = 98^2 + 26^2 .

10280 is an undulating number in base 16.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10289) by changing a digit.

10280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 10280 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 168.

2¹⁰²⁸⁰ is an apocalyptic number.

10280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10280 is an abundant number, since it is smaller than the sum of its proper divisors (12940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610).

10280 is a wasteful number, since it uses less digits than its factorization.

10280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10280 is about 101.3903348451. The cubic root of 10280 is about 21.7435793793.

Adding to 10280 its product of nonzero digits (16), we get a triangular number (10296 = T₁₄₃).

Adding to 10280 its reverse (8201), we get a palindrome (18481).

The spelling of 10280 in words is "ten thousand, two hundred eighty".