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1116 = 223231
BaseRepresentation
bin10001011100
31112100
4101130
513431
65100
73153
oct2134
91470
101116
11925
12790
1367b
1459a
154e6
hex45c

1116 has 18 divisors (see below), whose sum is σ = 2912. Its totient is φ = 360.

The previous prime is 1109. The next prime is 1117. The reversal of 1116 is 6111.

1116 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisibly by the product of its digits.

It is a plaindrome in base 10, base 13, base 14 and base 16.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1098 and 1107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117) by changing a digit.

1116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 21 + ... + 51.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456).

1116 is an abundant number, since it is smaller than the sum of its proper divisors (1796).

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

1116 is a wasteful number, since it uses less digits than its factorization.

1116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 36 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 1116 is about 33.4065861770. The cubic root of 1116 is about 10.3726103753.

The spelling of 1116 in words is "one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116