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

bin | 110101100110000 |

3 | 1101122022 |

4 | 12230300 |

5 | 1334230 |

6 | 331012 |

7 | 143000 |

oct | 65460 |

9 | 41568 |

10 | 27440 |

11 | 19686 |

12 | 13a68 |

13 | c64a |

14 | a000 |

15 | 81e5 |

hex | 6b30 |

27440 has 40 divisors (see below), whose sum is σ = 74400. Its totient is φ = 9408.

The previous prime is 27437. The next prime is 27449. The reversal of 27440 is 4472.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (27449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3917 + ... + 3923.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2^{27440} is an apocalyptic number.

27440 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 27440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200).

27440 is an abundant number, since it is smaller than the sum of its proper divisors (46960).

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

27440 is an equidigital number, since it uses as much as digits as its factorization.

27440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 27440 is about 165.6502339268. The cubic root of 27440 is about 30.1620856604.

The spelling of 27440 in words is "twenty-seven thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440

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