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

bin | 101101001000000 |

3 | 1011200201 |

4 | 11221000 |

5 | 1214404 |

6 | 254544 |

7 | 124234 |

oct | 55100 |

9 | 34621 |

10 | 23104 |

11 | 163a4 |

12 | 11454 |

13 | a693 |

14 | 85c4 |

15 | 6ca4 |

hex | 5a40 |

23104 has 21 divisors (see below), whose sum is σ = 48387. Its totient is φ = 10944.

The previous prime is 23099. The next prime is 23117. The reversal of 23104 is 40132.

Adding to 23104 its reverse (40132), we get a palindrome (63236).

23104 = T_{151} + T_{152}.

The square root of 23104 is 152.

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

It is a Duffinian number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1207 + ... + 1225.

2^{23104} is an apocalyptic number.

23104 is the 152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23104

23104 is an abundant number, since it is smaller than the sum of its proper divisors (25283).

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

23104 is an equidigital number, since it uses as much as digits as its factorization.

23104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The cubic root of 23104 is about 28.4814694356.

The spelling of 23104 in words is "twenty-three thousand, one hundred four", and thus it is an iban number.

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