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

bin | 101101111101010 |

3 | 1012021111 |

4 | 11233222 |

5 | 1223110 |

6 | 300534 |

7 | 125413 |

oct | 55752 |

9 | 35244 |

10 | 23530 |

11 | 16751 |

12 | 1174a |

13 | a930 |

14 | 880a |

15 | 6e8a |

hex | 5bea |

23530 has 16 divisors (see below), whose sum is σ = 45864. Its totient is φ = 8640.

The previous prime is 23509. The next prime is 23531. The reversal of 23530 is 3532.

It can be written as a sum of positive squares in 4 ways, for example, as 6889 + 16641 = 83^2 + 129^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 23530.

It is not an unprimeable number, because it can be changed into a prime (23531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 220.

2^{23530} is an apocalyptic number.

23530 is a deficient number, since it is larger than the sum of its proper divisors (22334).

23530 is a wasteful number, since it uses less digits than its factorization.

23530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 23530 is about 153.3949151700. The cubic root of 23530 is about 28.6554550231.

The spelling of 23530 in words is "twenty-three thousand, five hundred thirty".

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