Search a number
-
+
260800 = 2652163
BaseRepresentation
bin111111101011000000
3111020202021
4333223000
531321200
65331224
72134231
oct775300
9436667
10260800
11168a41
12106b14
1391927
146b088
155241a
hex3fac0

260800 has 42 divisors (see below), whose sum is σ = 645668. Its totient is φ = 103680.

The previous prime is 260791. The next prime is 260807. The reversal of 260800 is 8062.

260800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (260807) by changing a digit.

260800 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 5 ways as a sum of consecutive naturals, for example, 1519 + ... + 1681.

2260800 is an apocalyptic number.

260800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322834).

260800 is an abundant number, since it is smaller than the sum of its proper divisors (384868).

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

260800 is a wasteful number, since it uses less digits than its factorization.

260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 260800 is about 510.6858133921. The cubic root of 260800 is about 63.8904375456.

Adding to 260800 its reverse (8062), we get a palindrome (268862).

The spelling of 260800 in words is "two hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 163 200 320 326 400 652 800 815 1304 1600 1630 2608 3260 4075 5216 6520 8150 10432 13040 16300 26080 32600 52160 65200 130400 260800