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11368 = 237229
BaseRepresentation
bin10110001101000
3120121001
42301220
5330433
6124344
745100
oct26150
916531
1011368
1185a5
1266b4
135236
144200
15357d
hex2c68

11368 has 24 divisors (see below), whose sum is σ = 25650. Its totient is φ = 4704.

The previous prime is 11353. The next prime is 11369. The reversal of 11368 is 86311.

Adding to 11368 its reverse (86311), we get a palindrome (97679).

It can be divided in two parts, 113 and 68, that added together give a palindrome (181).

It can be written as a sum of positive squares in only one way, i.e., 9604 + 1764 = 98^2 + 42^2 .

It is an Ulam number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 14.

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

11368 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 5 ways as a sum of consecutive naturals, for example, 378 + ... + 406.

211368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825).

11368 is an abundant number, since it is smaller than the sum of its proper divisors (14282).

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

11368 is a wasteful number, since it uses less digits than its factorization.

11368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 38 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 11368 is about 106.6208234821. The cubic root of 11368 is about 22.4850930065.

The spelling of 11368 in words is "eleven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 5684 11368