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

bin | 110110100001110 |

3 | 1102022000 |

4 | 12310032 |

5 | 1343133 |

6 | 333130 |

7 | 144252 |

oct | 66416 |

9 | 42260 |

10 | 27918 |

11 | 19a80 |

12 | 141a6 |

13 | c927 |

14 | a262 |

15 | 8413 |

hex | 6d0e |

27918 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 8280.

The previous prime is 27917. The next prime is 27919. The reversal of 27918 is 81972.

27918 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (27917) and next prime (27919).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1008) is a multiple of the sum of its prime divisors (63).

It is a Curzon number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 27891 and 27900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2^{27918} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

27918 is an abundant number, since it is smaller than the sum of its proper divisors (41202).

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

27918 is a wasteful number, since it uses less digits than its factorization.

27918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 27918 is about 167.0868037877. The cubic root of 27918 is about 30.3362178421.

The spelling of 27918 in words is "twenty-seven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 9306 13959 27918

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