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11382 = 237271
BaseRepresentation
bin10110001110110
3120121120
42301312
5331012
6124410
745120
oct26166
916546
1011382
118608
126706
135247
144210
15358c
hex2c76

11382 has 16 divisors (see below), whose sum is σ = 26112. Its totient is φ = 3240.

The previous prime is 11369. The next prime is 11383. The reversal of 11382 is 28311.

It is a happy number.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11382.

It is not an unprimeable number, because it can be changed into a prime (11383) by changing a digit.

11382 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 7 ways as a sum of consecutive naturals, for example, 94 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (1632).

211382 is an apocalyptic number.

11382 is an abundant number, since it is smaller than the sum of its proper divisors (14730).

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 (13056).

11382 is a wasteful number, since it uses less digits than its factorization.

11382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283.

The product of its digits is 48, while the sum is 15.

The square root of 11382 is about 106.6864564975. The cubic root of 11382 is about 22.4943195537.

Adding to 11382 its reverse (28311), we get a palindrome (39693).

It can be divided in two parts, 11 and 382, that added together give a palindrome (393).

The spelling of 11382 in words is "eleven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 271 542 813 1626 1897 3794 5691 11382