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1088 = 2617
BaseRepresentation
bin10001000000
31111022
4101000
513323
65012
73113
oct2100
91438
101088
118aa
12768
13659
1457a
154c8
hex440

1088 has 14 divisors (see below), whose sum is σ = 2286. Its totient is φ = 512.

The previous prime is 1087. The next prime is 1091. The reversal of 1088 is 8801.

It is a happy number.

1088 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 332-1.

It can be written as a sum of positive squares in only one way, i.e., 1024 + 64 = 32^2 + 8^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1088 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56 + ... + 72.

21088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143).

1088 is an abundant number, since it is smaller than the sum of its proper divisors (1198).

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

1088 is an equidigital number, since it uses as much as digits as its factorization.

1088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1088 is about 32.9848450049. The cubic root of 1088 is about 10.2851263626.

Multiplying 1088 by its sum of digits (17), we get a square (18496 = 1362).

1088 divided by its sum of digits (17) gives a 6-th power (64 = 26).

Subtracting from 1088 its product of nonzero digits (64), we obtain a 10-th power (1024 = 210).

Adding to 1088 its reverse (8801), we get a palindrome (9889).

The spelling of 1088 in words is "one thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088