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BaseRepresentation
bin10100001000
31202201
4110020
520123
65544
73520
oct2410
91681
101288
11a71
128b4
13781
14680
hex508

1288 has 16 divisors (see below), whose sum is σ = 2880. Its totient is φ = 528.

The previous prime is 1283. The next prime is 1289. The reversal of 1288 is 8821.

It is a happy number.

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

Its product of digits (128) is a multiple of the sum of its prime divisors (32).

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 6 and base 11.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1283) by changing a digit.

1288 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, 45 + ... + 67.

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

1288 is the 23-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440).

1288 is an abundant number, since it is smaller than the sum of its proper divisors (1592).

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

1288 is a wasteful number, since it uses less digits than its factorization.

1288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 32 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 1288 is about 35.8887168899. Note that the first 3 decimals coincide. The cubic root of 1288 is about 10.8802436508.

It can be divided in two parts, 128 and 8, that multiplied together give a 10-th power (1024 = 210).

The spelling of 1288 in words is "one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288