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1128 = 23347
BaseRepresentation
bin10001101000
31112210
4101220
514003
65120
73201
oct2150
91483
101128
11936
127a0
1368a
145a8
15503
hex468

1128 has 16 divisors (see below), whose sum is σ = 2880. Its totient is φ = 368.

The previous prime is 1123. The next prime is 1129. The reversal of 1128 is 8211.

Adding to 1128 its reverse (8211), we get a palindrome (9339).

It can be divided in two parts, 112 and 8, that added together give a triangular number (120 = T15).

It is a happy number.

1128 is a nontrivial binomial coefficient, being equal to C(48, 2).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a plaindrome in base 10, base 13 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1123) by changing a digit.

1128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (180).

21128 is an apocalyptic number.

1128 is the 47-th triangular number and also the 24-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440).

1128 is an abundant number, since it is smaller than the sum of its proper divisors (1752).

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

1128 is a wasteful number, since it uses less digits than its factorization.

1128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 1128 is about 33.5857112475. The cubic root of 1128 is about 10.4096557268.

The spelling of 1128 in words is "one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128