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

bin | 101110111011000 |

3 | 1012221210 |

4 | 11313120 |

5 | 1232044 |

6 | 303120 |

7 | 130020 |

oct | 56730 |

9 | 35853 |

10 | 24024 |

11 | 17060 |

12 | 11aa0 |

13 | ac20 |

14 | 8a80 |

15 | 71b9 |

hex | 5dd8 |

24024 has 64 divisors (see below), whose sum is σ = 80640. Its totient is φ = 5760.

The previous prime is 24023. The next prime is 24029. The reversal of 24024 is 42042.

Added to its reverse (42042) it gives a triangular number (66066 = T_{363}).

24024 is nontrivially palindromic in base 9.

It is a Cunningham number, because it is equal to 155^{2}-1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1842 + ... + 1854.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2^{24024} is an apocalyptic number.

24024 is a gapful number since it is divisible by the number (24) 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 24024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

24024 is an abundant number, since it is smaller than the sum of its proper divisors (56616).

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

24024 is a wasteful number, since it uses less digits than its factorization.

With its successor (24025) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (36).

24024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 24024 is about 154.9967741600. The cubic root of 24024 is about 28.8546032001.

24024 divided by its sum of digits (12) gives a palindrome (2002).

Adding to 24024 its reverse (42042), we get a palindrome (66066).

The spelling of 24024 in words is "twenty-four thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024

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