Search a number
11280 = 243547
BaseRepresentation
bin10110000010000
3120110210
42300100
5330110
6124120
744613
oct26020
916423
1011280
118525
126640
135199
14417a
153520
hex2c10

11280 has 40 divisors (see below), whose sum is σ = 35712. Its totient is φ = 2944.

The previous prime is 11279. The next prime is 11287. The reversal of 11280 is 8211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (11287) 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, 217 + ... + 263.

211280 is an apocalyptic number.

11280 is a gapful number since it is divisible by the number (10) 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 11280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856).

11280 is an abundant number, since it is smaller than the sum of its proper divisors (24432).

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

11280 is a wasteful number, since it uses less digits than its factorization.

11280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11280 is about 106.2073443788. The cubic root of 11280 is about 22.4269234091.

Adding to 11280 its reverse (8211), we get a palindrome (19491).

The spelling of 11280 in words is "eleven thousand, two hundred eighty".