Search a number
BaseRepresentation
bin10001100000
31112111
4101200
513440
65104
73160
oct2140
91474
101120
11929
12794
13682
145a0
154ea
hex460

1120 has 24 divisors (see below), whose sum is σ = 3024. Its totient is φ = 384.

The previous prime is 1117. The next prime is 1123. The reversal of 1120 is 211.

Adding to 1120 its reverse (211), we get a palindrome (1331).

Subtracting from 1120 its reverse (211), we obtain a palindrome (909).

It can be divided in two parts, 1 and 120, that added together give a palindrome (121).

1120 = T5 + T6 + ... + T18.

1120 is nontrivially palindromic in base 3 and base 11.

It is an interprime number because it is at equal distance from previous prime (1117) and next prime (1123).

It is a Harshad number since it is a multiple of its sum of digits (4).

1120 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123) 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 in 3 ways as a sum of consecutive naturals, for example, 157 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (126).

1120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512).

1120 is an abundant number, since it is smaller than the sum of its proper divisors (1904).

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

1120 is an equidigital number, since it uses as much as digits as its factorization.

1120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1120 is about 33.4664010614. The cubic root of 1120 is about 10.3849882037.

The spelling of 1120 in words is "one thousand, one hundred twenty", and thus it is an iban number.