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

bin | 1011111010111… |

… | …01111010000000 |

3 | 20222011111100000 |

4 | 11331131322000 |

5 | 201044434420 |

6 | 13531200000 |

7 | 2322660216 |

oct | 575357200 |

9 | 228144300 |

10 | 99999360 |

11 | 514a0aaa |

12 | 295a6000 |

13 | 17943426 |

14 | d3d0cb6 |

15 | 8ba4690 |

hex | 5f5de80 |

99999360 has 192 divisors, whose sum is σ = 358656480. Its totient is φ = 26625024.

The previous prime is 99999353. The next prime is 99999373. The reversal of 99999360 is 6399999.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 99999297 and 99999306.

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, 155199 + ... + 155841.

Almost surely, 2^{99999360} is an apocalyptic number.

99999360 is a gapful number since it is divisible by the number (90) 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 99999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179328240).

99999360 is an abundant number, since it is smaller than the sum of its proper divisors (258657120).

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

99999360 is an equidigital number, since it uses as much as digits as its factorization.

99999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 99999360 is about 9999.9679999488. The cubic root of 99999360 is about 464.1578931535.

The spelling of 99999360 in words is "ninety-nine million, nine hundred ninety-nine thousand, three hundred sixty".

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