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

bin | 1111100000110… |

… | …10010000000010 |

3 | 100001212100002200 |

4 | 13300122100002 |

5 | 231303142241 |

6 | 20525054030 |

7 | 3140044341 |

oct | 760322002 |

9 | 301770080 |

10 | 130130946 |

11 | 67501340 |

12 | 376b7316 |

13 | 20c6327a |

14 | 133d5b58 |

15 | b6574b6 |

hex | 7c1a402 |

130130946 has 96 divisors (see below), whose sum is σ = 322470720. Its totient is φ = 37564800.

The previous prime is 130130929. The next prime is 130130947. The reversal of 130130946 is 649031031.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130130947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752116 + ... + 752288.

It is an arithmetic number, because the mean of its divisors is an integer number (3359070).

Almost surely, 2^{130130946} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130130946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161235360).

130130946 is an abundant number, since it is smaller than the sum of its proper divisors (192339774).

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

130130946 is a wasteful number, since it uses less digits than its factorization.

130130946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130130946 is about 11407.4951676518. The cubic root of 130130946 is about 506.7497335144.

Adding to 130130946 its reverse (649031031), we get a palindrome (779161977).

The spelling of 130130946 in words is "one hundred thirty million, one hundred thirty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 131 173 174 198 261 262 319 346 393 519 522 638 786 957 1038 1179 1441 1557 1903 1914 2358 2871 2882 3114 3799 3806 4323 5017 5709 5742 7598 8646 10034 11397 11418 12969 15051 17127 22663 22794 25938 30102 34191 34254 41789 45153 45326 55187 67989 68382 83578 90306 110374 125367 135978 165561 203967 249293 250734 331122 376101 407934 496683 498586 657227 747879 752202 993366 1314454 1495758 1971681 2243637 3943362 4487274 5915043 7229497 11830086 14458994 21688491 43376982 65065473 130130946

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