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

bin | 111101010001… |

… | …111001000000 |

3 | 1010020010202100 |

4 | 331101321000 |

5 | 13103022224 |

6 | 1332150400 |

7 | 253354002 |

oct | 75217100 |

9 | 33203670 |

10 | 16064064 |

11 | 9082195 |

12 | 5468400 |

13 | 3435a83 |

14 | 21c2372 |

15 | 1624ac9 |

hex | f51e40 |

16064064 has 63 divisors (see below), whose sum is σ = 46322107. Its totient is φ = 5322624.

The previous prime is 16064053. The next prime is 16064071. The reversal of 16064064 is 46046061.

The square root of 16064064 is 4008.

It is a perfect power (a square), and thus also a powerful number.

16064064 is a *`hidden beast`* number, since 16 + 0 + 640 + 6 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96109 + ... + 96275.

Almost surely, 2^{16064064} is an apocalyptic number.

16064064 is the 4008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16064064

16064064 is an abundant number, since it is smaller than the sum of its proper divisors (30258043).

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

16064064 is an equidigital number, since it uses as much as digits as its factorization.

16064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 16064064 is about 252.3200770321.

The spelling of 16064064 in words is "sixteen million, sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 167 192 288 334 501 576 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 16032 24048 27889 32064 48096 55778 83667 96192 111556 167334 223112 251001 334668 446224 502002 669336 892448 1004004 1338672 1784896 2008008 2677344 4016016 5354688 8032032 16064064

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