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

bin | 100010110110101100000 |

3 | 2011000200110 |

4 | 10112311200 |

5 | 243021422 |

6 | 40251320 |

7 | 12464526 |

oct | 4266540 |

9 | 2130613 |

10 | 1142112 |

11 | 7100a4 |

12 | 470b40 |

13 | 30cb0a |

14 | 21a316 |

15 | 17860c |

hex | 116d60 |

1142112 has 24 divisors (see below), whose sum is σ = 2998296. Its totient is φ = 380672.

The previous prime is 1142083. The next prime is 1142129. The reversal of 1142112 is 2112411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5853 + ... + 6044.

It is an arithmetic number, because the mean of its divisors is an integer number (124929).

2^{1142112} is an apocalyptic number.

1142112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142112 is an abundant number, since it is smaller than the sum of its proper divisors (1856184).

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

1142112 is a wasteful number, since it uses less digits than its factorization.

1142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910 (or 11902 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 1142112 is about 1068.6964021648. The cubic root of 1142112 is about 104.5288642289.

Adding to 1142112 its reverse (2112411), we get a palindrome (3254523).

Subtracting 1142112 from its reverse (2112411), we obtain a cube (970299 = 99^{3}).

The spelling of 1142112 in words is "one million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11897 23794 35691 47588 71382 95176 142764 190352 285528 380704 571056 1142112

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