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11396 = 2271137
BaseRepresentation
bin10110010000100
3120122002
42302010
5331041
6124432
745140
oct26204
916562
1011396
118620
126718
135258
144220
15359b
hex2c84

11396 has 24 divisors (see below), whose sum is σ = 25536. Its totient is φ = 4320.

The previous prime is 11393. The next prime is 11399. The reversal of 11396 is 69311.

11396 = T8 + T9 + ... + T40.

It is an interprime number because it is at equal distance from previous prime (11393) and next prime (11399).

It is a plaindrome in base 15.

It is a nialpdrome in base 11 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 290 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (1064).

211396 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 11396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768).

11396 is an abundant number, since it is smaller than the sum of its proper divisors (14140).

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

11396 is a wasteful number, since it uses less digits than its factorization.

11396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 57 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The square root of 11396 is about 106.7520491607. The cubic root of 11396 is about 22.5035385381.

It can be divided in two parts, 11 and 396, that multiplied together give a square (4356 = 662).

The spelling of 11396 in words is "eleven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1628 2849 5698 11396