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1184 = 2537
BaseRepresentation
bin10010100000
31121212
4102200
514214
65252
73311
oct2240
91555
101184
11987
12828
13701
14608
1553e
hex4a0

1184 has 12 divisors (see below), whose sum is σ = 2394. Its totient is φ = 576.

The previous prime is 1181. The next prime is 1187. The reversal of 1184 is 4811.

It is a happy number.

1184 is nontrivially palindromic in base 12.

1184 is an esthetic number in base 11, because in such base it adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1181) and next prime (1187).

It can be written as a sum of positive squares in only one way, i.e., 784 + 400 = 28^2 + 20^2 .

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.

Together with 1210 it forms an amicable pair .

1184 is an undulating number in base 6 and base 12.

It is a plaindrome in base 9.

It is a nialpdrome in base 7 and base 11.

It is a zygodrome in base 7.

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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14 + ... + 50.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197).

1184 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.

1184 is an equidigital number, since it uses as much as digits as its factorization.

1184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 1184 is about 34.4093010682. The cubic root of 1184 is about 10.5791449454.

The spelling of 1184 in words is "one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184