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

bin | 110011011111… |

… | …1110011001000 |

3 | 1212210202001022 |

4 | 1212333303020 |

5 | 23403000013 |

6 | 2402412012 |

7 | 445332140 |

oct | 146776310 |

9 | 55722038 |

10 | 27000008 |

11 | 14271562 |

12 | 9061008 |

13 | 5794649 |

14 | 382b920 |

15 | 2585008 |

hex | 19bfcc8 |

27000008 has 64 divisors (see below), whose sum is σ = 60702720. Its totient is φ = 11016000.

The previous prime is 26999981. The next prime is 27000011. The reversal of 27000008 is 80000072.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 27000008 = 2^{3} + 300^{3} = 146^{3} + 288^{3}.

It is a self number, because there is not a number *n* which added to its sum of digits gives 27000008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178733 + ... + 178883.

It is an arithmetic number, because the mean of its divisors is an integer number (948480).

Almost surely, 2^{27000008} is an apocalyptic number.

27000008 is a gapful number since it is divisible by the number (28) 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 27000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30351360).

27000008 is an abundant number, since it is smaller than the sum of its proper divisors (33702712).

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

27000008 is a wasteful number, since it uses less digits than its factorization.

27000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 27000008 is about 5196.1531925069. The cubic root of 27000008 is about 300.0000296296. Note that the first 4 decimals are identical.

The spelling of 27000008 in words is "twenty-seven million, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 14 28 31 56 62 103 124 151 206 217 248 302 412 434 604 721 824 868 1057 1208 1442 1736 2114 2884 3193 4228 4681 5768 6386 8456 9362 12772 15553 18724 22351 25544 31106 32767 37448 44702 62212 65534 89404 108871 124424 131068 178808 217742 262136 435484 482143 870968 964286 1928572 3375001 3857144 6750002 13500004 27000008

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