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

bin | 1101100000100… |

… | …11100001010100 |

3 | 21220020120021100 |

4 | 12300103201110 |

5 | 213002414124 |

6 | 15124550100 |

7 | 2544153660 |

oct | 660234124 |

9 | 256216240 |

10 | 113326164 |

11 | 58a73696 |

12 | 31b52330 |

13 | 1a62b303 |

14 | 1109d8a0 |

15 | 9e381c9 |

hex | 6c13854 |

113326164 has 72 divisors (see below), whose sum is σ = 330057728. Its totient is φ = 32114880.

The previous prime is 113326163. The next prime is 113326181. The reversal of 113326164 is 461623311.

113326164 is a *`hidden beast`* number, since 1 + 13 + 32 + 616 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113326163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30234 + ... + 33774.

Almost surely, 2^{113326164} is an apocalyptic number.

113326164 is a gapful number since it is divisible by the number (14) 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 113326164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165028864).

113326164 is an abundant number, since it is smaller than the sum of its proper divisors (216731564).

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

113326164 is a wasteful number, since it uses less digits than its factorization.

113326164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3680 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 113326164 is about 10645.4762223209. The cubic root of 113326164 is about 483.9235188671.

Adding to 113326164 its reverse (461623311), we get a palindrome (574949475).

The spelling of 113326164 in words is "one hundred thirteen million, three hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3541 3556 4572 5334 7082 8001 10623 10668 14164 16002 21246 24787 31869 32004 42492 49574 63738 74361 99148 127476 148722 223083 297444 446166 449707 892332 899414 1349121 1798828 2698242 3147949 4047363 5396484 6295898 8094726 9443847 12591796 16189452 18887694 28331541 37775388 56663082 113326164

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