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1183 = 7132
BaseRepresentation
bin10010011111
31121211
4102133
514213
65251
73310
oct2237
91554
101183
11986
12827
13700
14607
1553d
hex49f

1183 has 6 divisors (see below), whose sum is σ = 1464. Its totient is φ = 936.

The previous prime is 1181. The next prime is 1187. The reversal of 1183 is 3811.

1183 is nontrivially palindromic in base 3.

It is not a de Polignac number, because 1183 - 21 = 1181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

1183 is a lucky number.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 7, base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1181) 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, 85 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (244).

1183 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1183 is a deficient number, since it is larger than the sum of its proper divisors (281).

1183 is an equidigital number, since it uses as much as digits as its factorization.

1183 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 20 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 1183 is about 34.3947670438. The cubic root of 1183 is about 10.5761657436.

1183 divided by its sum of digits (13) gives a triangular number (91 = T13).

Adding to 1183 its reverse (3811), we get a palindrome (4994).

Subtracting 1183 from its reverse (3811), we obtain a triangular number (2628 = T72).

It can be divided in two parts, 118 and 3, that added together give a palindrome (121).

The spelling of 1183 in words is "one thousand, one hundred eighty-three".

Divisors: 1 7 13 91 169 1183