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

bin | 100110000111… |

… | …010011100011 |

3 | 200210121121200 |

4 | 212013103203 |

5 | 10024211040 |

6 | 554052243 |

7 | 150632301 |

oct | 46072343 |

9 | 20717550 |

10 | 9991395 |

11 | 5704757 |

12 | 341a083 |

13 | 20ba98b |

14 | 1481271 |

15 | d25630 |

hex | 9874e3 |

9991395 has 24 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 5300736.

The previous prime is 9991379. The next prime is 9991409. The reversal of 9991395 is 5931999.

9991395 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9991395 - 2^{4} = 9991379 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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

9991395 is a lucky number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 9991395.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10291 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^{9991395} is an apocalyptic number.

9991395 is a deficient number, since it is larger than the sum of its proper divisors (7418205).

9991395 is a wasteful number, since it uses less digits than its factorization.

9991395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1176 counting only the distinct ones).

The product of its digits is 98415, while the sum is 45.

The square root of 9991395 is about 3160.9167973865. The cubic root of 9991395 is about 215.3816549011.

The spelling of 9991395 in words is "nine million, nine hundred ninety-one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 45 239 717 929 1195 2151 2787 3585 4645 8361 10755 13935 41805 222031 666093 1110155 1998279 3330465 9991395

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