Search a number
BaseRepresentation
bin10110001100000
3120120202
42301200
5330420
6124332
745056
oct26140
916522
1011360
118598
1266a8
13522b
1441d6
153575
hex2c60

11360 has 24 divisors (see below), whose sum is σ = 27216. Its totient is φ = 4480.

The previous prime is 11353. The next prime is 11369. The reversal of 11360 is 6311.

Multipling 11360 by its product of nonzero digits (18), we get a triangular number (204480 = T639).

Adding to 11360 its reverse (6311), we get a palindrome (17671).

11360 = T9 + T10 + ... + T40.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11369) by changing a digit.

11360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

211360 is an apocalyptic number.

11360 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 11360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

11360 is an abundant number, since it is smaller than the sum of its proper divisors (15856).

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

11360 is an equidigital number, since it uses as much as digits as its factorization.

11360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 11360 is about 106.5833007558. The cubic root of 11360 is about 22.4798172923.

The spelling of 11360 in words is "eleven thousand, three hundred sixty".