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

bin | 11111000000100000000 |

3 | 1220121210000 |

4 | 3320010000 |

5 | 230003224 |

6 | 33440000 |

7 | 11431200 |

oct | 3700400 |

9 | 1817700 |

10 | 1016064 |

11 | 634425 |

12 | 410000 |

13 | 29762a |

14 | 1c6400 |

15 | 1510c9 |

hex | f8100 |

1016064 has 135 divisors (see below), whose sum is σ = 3524367. Its totient is φ = 290304.

The previous prime is 1016053. The next prime is 1016069. The reversal of 1016064 is 4606101.

The square root of 1016064 is 1008.

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

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

It is a nialpdrome in base 12 and base 16.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1016069) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 145149 + ... + 145155.

2^{1016064} is an apocalyptic number.

1016064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1016064 is the 1008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016064

1016064 is an abundant number, since it is smaller than the sum of its proper divisors (2508303).

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

1016064 is an frugal number, since it uses more digits than its factorization.

1016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 1016064 is about 100.5326247389.

Multiplying 1016064 by its product of nonzero digits (144), we get a square (146313216 = 12096^{2}).

1016064 divided by its product of nonzero digits (144) gives a square (7056 = 84^{2}).

The spelling of 1016064 in words is "one million, sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 256 288 294 324 336 378 384 392 432 441 448 504 567 576 588 648 672 756 768 784 864 882 896 1008 1134 1152 1176 1296 1323 1344 1512 1568 1728 1764 1792 2016 2268 2304 2352 2592 2646 2688 3024 3136 3456 3528 3969 4032 4536 4704 5184 5292 5376 6048 6272 6912 7056 7938 8064 9072 9408 10368 10584 12096 12544 14112 15876 16128 18144 18816 20736 21168 24192 28224 31752 36288 37632 42336 48384 56448 63504 72576 84672 112896 127008 145152 169344 254016 338688 508032 1016064

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