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11417 = 72233
BaseRepresentation
bin10110010011001
3120122212
42302121
5331132
6124505
745200
oct26231
916585
1011417
11863a
126735
135273
144237
1535b2
hex2c99

11417 has 6 divisors (see below), whose sum is σ = 13338. Its totient is φ = 9744.

The previous prime is 11411. The next prime is 11423. The reversal of 11417 is 71411.

It is a happy number.

11417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11411) and next prime (11423).

It can be written as a sum of positive squares in only one way, i.e., 8281 + 3136 = 91^2 + 56^2 .

It is not a de Polignac number, because 11417 - 26 = 11353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (2223).

211417 is an apocalyptic number.

It is an amenable number.

11417 is a deficient number, since it is larger than the sum of its proper divisors (1921).

11417 is an equidigital number, since it uses as much as digits as its factorization.

11417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its digits is 28, while the sum is 14.

The square root of 11417 is about 106.8503626573. The cubic root of 11417 is about 22.5173528685.

Adding to 11417 its reverse (71411), we get a palindrome (82828).

It can be divided in two parts, 114 and 17, that added together give a palindrome (131).

The spelling of 11417 in words is "eleven thousand, four hundred seventeen", and thus it is an iban number.

Divisors: 1 7 49 233 1631 11417