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

bin | 100101110001… |

… | …110111111001 |

3 | 200122011012100 |

4 | 211301313321 |

5 | 10013403414 |

6 | 552134013 |

7 | 150115332 |

oct | 45616771 |

9 | 20564170 |

10 | 9903609 |

11 | 5654801 |

12 | 3397309 |

13 | 2089a31 |

14 | 145b289 |

15 | d09609 |

hex | 971df9 |

9903609 has 9 divisors (see below), whose sum is σ = 14318863. Its totient is φ = 6596112.

The previous prime is 9903589. The next prime is 9903623. The reversal of 9903609 is 9063099.

Multipling 9903609 by its sum of digits (36), we get a square (356529924 = 18882^{2}).

The square root of 9903609 is 3147.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8982009 + 921600 = 2997^2 + 960^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9903609 - 2^{11} = 9901561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9903109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8917 + ... + 9965.

Almost surely, 2^{9903609} is an apocalyptic number.

9903609 is the 3147-th square number.

9903609 is the 1574-th centered octagonal number.

It is an amenable number.

9903609 is a deficient number, since it is larger than the sum of its proper divisors (4415254).

9903609 is an equidigital number, since it uses as much as digits as its factorization.

9903609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The cubic root of 9903609 is about 214.7490058197.

The spelling of 9903609 in words is "nine million, nine hundred three thousand, six hundred nine".

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