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1086 = 23181
BaseRepresentation
bin10000111110
31111020
4100332
513321
65010
73111
oct2076
91436
101086
118a8
12766
13657
14578
154c6
hex43e

1086 has 8 divisors (see below), whose sum is σ = 2184. Its totient is φ = 360.

The previous prime is 1069. The next prime is 1087. The reversal of 1086 is 6801.

Multipling 1086 by its sum of digits (15), we get a triangular number (16290 = T180).

Adding to 1086 its reverse (6801), we get a palindrome (7887).

1086 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

1086 is an undulating number in base 11.

It is a plaindrome in base 14.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1086.

It is not an unprimeable number, because it can be changed into a prime (1087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (273).

21086 is an apocalyptic number.

1086 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092).

1086 is a wasteful number, since it uses less digits than its factorization.

1086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1086 is about 32.9545141066. The cubic root of 1086 is about 10.2788203363.

The spelling of 1086 in words is "one thousand, eighty-six".

Divisors: 1 2 3 6 181 362 543 1086