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11718 = 233731
BaseRepresentation
bin10110111000110
3121002000
42313012
5333333
6130130
746110
oct26706
917060
1011718
118893
126946
135445
1443b0
153713
hex2dc6

11718 has 32 divisors (see below), whose sum is σ = 30720. Its totient is φ = 3240.

The previous prime is 11717. The next prime is 11719. The reversal of 11718 is 81711.

11718 is nontrivially palindromic in base 5 and base 13.

It is an interprime number because it is at equal distance from previous prime (11717) and next prime (11719).

It is a Harshad number since it is a multiple of its sum of digits (18).

11718 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 11718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (960).

211718 is an apocalyptic number.

11718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360).

11718 is an abundant number, since it is smaller than the sum of its proper divisors (19002).

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

11718 is a wasteful number, since it uses less digits than its factorization.

11718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 43 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 11718 is about 108.2497113160. The cubic root of 11718 is about 22.7135228346.

It can be divided in two parts, 11 and 718, that added together give a 6-th power (729 = 36).

The spelling of 11718 in words is "eleven thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718