Base | Representation |
---|---|

bin | 1000000010000000000 |

3 | 111100222222 |

4 | 1000100000 |

5 | 31410133 |

6 | 5350212 |

7 | 2144153 |

oct | 1002000 |

9 | 440888 |

10 | 263168 |

11 | 16a7a4 |

12 | 108368 |

13 | 92a29 |

14 | 6bc9a |

15 | 52e98 |

hex | 40400 |

263168 has 22 divisors (see below), whose sum is σ = 528126. Its totient is φ = 131072.

The previous prime is 263167. The next prime is 263171. The reversal of 263168 is 861362.

263168 is nontrivially palindromic in base 13.

It is a Cunningham number, because it is equal to 513^{2}-1.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 1024 = 512^2 + 32^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 263168 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, 896 + ... + 1152.

263168 is a Friedman number, since it can be written as 8^6+2^(6+3+1), using all its digits and the basic arithmetic operations.

2^{263168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264063).

263168 is an abundant number, since it is smaller than the sum of its proper divisors (264958).

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

263168 is an equidigital number, since it uses as much as digits as its factorization.

263168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 263168 is about 512.9990253402. Note that the first 3 decimals coincide. The cubic root of 263168 is about 64.0832250613.

The spelling of 263168 in words is "two hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2056 4112 8224 16448 32896 65792 131584 263168

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