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

bin | 110101001010000 |

3 | 1101100000 |

4 | 12221100 |

5 | 1332331 |

6 | 330000 |

7 | 142230 |

oct | 65120 |

9 | 41300 |

10 | 27216 |

11 | 194a2 |

12 | 13900 |

13 | c507 |

14 | 9cc0 |

15 | 80e6 |

hex | 6a50 |

27216 has 60 divisors (see below), whose sum is σ = 90272. Its totient is φ = 7776.

The previous prime is 27211. The next prime is 27239. The reversal of 27216 is 61272.

27216 = 10^{3} + 11^{3} + ... + 18^{3}.

It is a happy number.

27216 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (168) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27211) by changing a digit.

27216 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 11 ways as a sum of consecutive naturals, for example, 3885 + ... + 3891.

2^{27216} 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 27216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136).

27216 is an abundant number, since it is smaller than the sum of its proper divisors (63056).

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

27216 is an equidigital number, since it uses as much as digits as its factorization.

27216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 12 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 27216 is about 164.9727250184. The cubic root of 27216 is about 30.0797876098.

Adding to 27216 its reverse (61272), we get a palindrome (88488).

It can be divided in two parts, 27 and 216, that multiplied together give a cube (5832 = 18^{3}).

The spelling of 27216 in words is "twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216

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