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

bin | 1000000000000… |

… | …00000000000000 |

3 | 11200021111001111 |

4 | 10000000000000 |

5 | 114134440424 |

6 | 10354213104 |

7 | 1443262444 |

oct | 400000000 |

9 | 150244044 |

10 | 67108864 |

11 | 34976979 |

12 | 1a584194 |

13 | 10b988b4 |

14 | 8cac824 |

15 | 5d59194 |

hex | 4000000 |

67108864 has 27 divisors (see below), whose sum is σ = 134217727. Its totient is φ = 33554432.

The previous prime is 67108859. The next prime is 67108879. The reversal of 67108864 is 46880176.

The square root of 67108864 is 8192.

It is a perfect power (a square, a 13-th power, a 26-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{26}.

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=64.

It is a Duffinian number.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 67108864 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{67108864} is an apocalyptic number.

67108864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67108864 is the 8192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67108864

67108864 is a deficient number, since it is larger than the sum of its proper divisors (67108863).

67108864 is an frugal number, since it uses more digits than its factorization.

67108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The cubic root of 67108864 is about 406.3746693039.

The spelling of 67108864 in words is "sixty-seven million, one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864

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