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1144 = 231113
BaseRepresentation
bin10001111000
31120101
4101320
514034
65144
73223
oct2170
91511
101144
11950
127b4
136a0
145ba
15514
hex478

1144 has 16 divisors (see below), whose sum is σ = 2520. Its totient is φ = 480.

The previous prime is 1129. The next prime is 1151. The reversal of 1144 is 4411.

Subtracting from 1144 its product of digits (16), we obtain a triangular number (1128 = T47).

Adding to 1144 its reverse (4411), we get a palindrome (5555).

It can be divided in two parts, 11 and 44, that multiplied together give a palindrome (484).

1144 is nontrivially palindromic in base 7.

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

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 94.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260).

1144 is an abundant number, since it is smaller than the sum of its proper divisors (1376).

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

1144 is a wasteful number, since it uses less digits than its factorization.

1144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 26 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 1144 is about 33.8230690506. The cubic root of 1144 is about 10.4586430635.

The spelling of 1144 in words is "one thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144