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8704 = 2917
BaseRepresentation
bin10001000000000
3102221101
42020000
5234304
6104144
734243
oct21000
912841
108704
1165a3
125054
133c67
14325a
1528a4
hex2200

8704 has 20 divisors (see below), whose sum is σ = 18414. Its totient is φ = 4096.

The previous prime is 8699. The next prime is 8707. The reversal of 8704 is 4078.

It is a happy number.

8704 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 2304 = 80^2 + 48^2 .

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8707) by changing a digit.

8704 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 (2) of ones.

In principle, a polygon with 8704 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, 504 + ... + 520.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207).

8704 is an abundant number, since it is smaller than the sum of its proper divisors (9710).

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

8704 is an equidigital number, since it uses as much as digits as its factorization.

8704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 8704 is about 93.2952303175. The cubic root of 8704 is about 20.5702527253.

The spelling of 8704 in words is "eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704