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1160 = 23529
BaseRepresentation
bin10010001000
31120222
4102020
514120
65212
73245
oct2210
91528
101160
11965
12808
136b3
145cc
15525
hex488

1160 has 16 divisors (see below), whose sum is σ = 2700. Its totient is φ = 448.

The previous prime is 1153. The next prime is 1163. The reversal of 1160 is 611.

Adding to 1160 its reverse (611), we get a palindrome (1771).

It can be divided in two parts, 1 and 160, that added together give a palindrome (161).

1160 = T19 + T20 + ... + T23.

1160 is nontrivially palindromic in base 12 and base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 4 = 34^2 + 2^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a cake number, because a cake can be divided into 1160 parts by 19 planar cuts.

1160 is an undulating number in base 12 and base 15.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 8 and base 11.

It is not an unprimeable number, because it can be changed into a prime (1163) by changing a digit.

1160 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 54.

21160 is an apocalyptic number.

1160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1160 is the 20-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350).

1160 is an abundant number, since it is smaller than the sum of its proper divisors (1540).

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

1160 is a wasteful number, since it uses less digits than its factorization.

1160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1160 is about 34.0587727319. The cubic root of 1160 is about 10.5071757450.

The spelling of 1160 in words is "one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160