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BaseRepresentation
bin10010001100
31121010
4102030
514124
65220
73252
oct2214
91533
101164
11969
12810
136b7
145d2
15529
hex48c

1164 has 12 divisors (see below), whose sum is σ = 2744. Its totient is φ = 384.

The previous prime is 1163. The next prime is 1171. The reversal of 1164 is 4611.

1164 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 97 = 1164 / (1 + 1 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

1164 is an undulating number in base 11.

It is a plaindrome in base 16.

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163) 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, 37 + ... + 60.

21164 is an apocalyptic number.

It is an amenable number.

1164 is an abundant number, since it is smaller than the sum of its proper divisors (1580).

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 (1372).

1164 is a wasteful number, since it uses less digits than its factorization.

1164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 1164 is about 34.1174442185. The cubic root of 1164 is about 10.5192391032.

Adding to 1164 its sum of digits (12), we get a triangular number (1176 = T48).

Adding to 1164 its reverse (4611), we get a palindrome (5775).

It can be divided in two parts, 116 and 4, that multiplied together give a palindrome (464).

The spelling of 1164 in words is "one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 97 194 291 388 582 1164