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11358 = 232631
BaseRepresentation
bin10110001011110
3120120200
42301132
5330413
6124330
745054
oct26136
916520
1011358
118596
1266a6
135229
1441d4
153573
hex2c5e

11358 has 12 divisors (see below), whose sum is σ = 24648. Its totient is φ = 3780.

The previous prime is 11353. The next prime is 11369. The reversal of 11358 is 85311.

It is a happy number.

11358 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 631 = 11358 / (1 + 1 + 3 + 5 + 8).

It is a Curzon number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11351) by changing a digit.

11358 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, 298 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (2054).

211358 is an apocalyptic number.

11358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11358 is an abundant number, since it is smaller than the sum of its proper divisors (13290).

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

11358 is a wasteful number, since it uses less digits than its factorization.

11358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 636 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11358 is about 106.5739180100. The cubic root of 11358 is about 22.4784979768.

Adding to 11358 its reverse (85311), we get a palindrome (96669).

It can be divided in two parts, 113 and 58, that added together give a palindrome (171).

The spelling of 11358 in words is "eleven thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 631 1262 1893 3786 5679 11358