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

bin | 100001111100000110000 |

3 | 2002111112100 |

4 | 10033200300 |

5 | 241041422 |

6 | 35500400 |

7 | 12311211 |

oct | 4174060 |

9 | 2074470 |

10 | 1112112 |

11 | 69a601 |

12 | 457700 |

13 | 2cc271 |

14 | 20d408 |

15 | 16e7ac |

hex | 10f830 |

1112112 has 30 divisors (see below), whose sum is σ = 3112772. Its totient is φ = 370656.

The previous prime is 1112107. The next prime is 1112113. The reversal of 1112112 is 2112111.

Adding to 1112112 its reverse (2112111), we get a palindrome (3224223).

Subtracting 1112112 from its reverse (2112111), we obtain a palindrome (999999).

It can be divided in two parts, 111 and 2112, that multiplied together give a palindrome (234432).

It is a happy number.

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

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 junction number, because it is equal to *n*+sod(*n*) for *n* = 1112094 and 1112103.

It is not an unprimeable number, because it can be changed into a prime (1112113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3718 + ... + 4005.

2^{1112112} is an apocalyptic number.

1112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1112112 is an abundant number, since it is smaller than the sum of its proper divisors (2000660).

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

1112112 is a wasteful number, since it uses less digits than its factorization.

1112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7737 (or 7728 counting only the distinct ones).

The product of its digits is 4, while the sum is 9.

The square root of 1112112 is about 1054.5672098069. The cubic root of 1112112 is about 103.6055074764.

The spelling of 1112112 in words is "one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7723 15446 23169 30892 46338 61784 69507 92676 123568 139014 185352 278028 370704 556056 1112112

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