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

bin | 100010100011000100000 |

3 | 2010111220022 |

4 | 10110120200 |

5 | 242211224 |

6 | 40133012 |

7 | 12423323 |

oct | 4243040 |

9 | 2114808 |

10 | 1132064 |

11 | 70359a |

12 | 467168 |

13 | 30837b |

14 | 2167ba |

15 | 17565e |

hex | 114620 |

1132064 has 24 divisors (see below), whose sum is σ = 2360988. Its totient is φ = 532480.

The previous prime is 1132063. The next prime is 1132067. The reversal of 1132064 is 4602311.

It can be written as a sum of positive squares in 2 ways, for example, as 1123600 + 8464 = 1060^2 + 92^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 497 + ... + 1584.

2^{1132064} is an apocalyptic number.

It is an amenable number.

1132064 is an abundant number, since it is smaller than the sum of its proper divisors (1228924).

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

1132064 is a wasteful number, since it uses less digits than its factorization.

1132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1132064 is about 1063.9849622997. The cubic root of 1132064 is about 104.2214217375.

Adding to 1132064 its reverse (4602311), we get a palindrome (5734375).

The spelling of 1132064 in words is "one million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 2081 4162 8324 16648 33296 35377 66592 70754 141508 283016 566032 1132064

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