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

bin | 100010100110110110000 |

3 | 2010121120000 |

4 | 10110312300 |

5 | 242242000 |

6 | 40150000 |

7 | 12432060 |

oct | 4246660 |

9 | 2117500 |

10 | 1134000 |

11 | 704a9a |

12 | 468300 |

13 | 30920a |

14 | 2173a0 |

15 | 176000 |

hex | 114db0 |

1134000 has 200 divisors, whose sum is σ = 4681248. Its totient is φ = 259200.

The previous prime is 1133989. The next prime is 1134031. The reversal of 1134000 is 4311.

1134000 = 46^{3} + 47^{3} + ... + 54^{3}.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161997 + ... + 162003.

2^{1134000} is an apocalyptic number.

1134000 is a gapful number since it is divisible by the number (10) 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 1134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340624).

1134000 is an abundant number, since it is smaller than the sum of its proper divisors (3547248).

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

1134000 is an equidigital number, since it uses as much as digits as its factorization.

1134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1134000 is about 1064.8943609579. The cubic root of 1134000 is about 104.2807993466.

Adding to 1134000 its reverse (4311), we get a palindrome (1138311).

The spelling of 1134000 in words is "one million, one hundred thirty-four thousand".

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