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

bin | 10101111111011011000000 |

3 | 101211212211010 |

4 | 111333123000 |

5 | 2433433200 |

6 | 323320520 |

7 | 66666666 |

oct | 25773300 |

9 | 11755733 |

10 | 5764800 |

11 | 32881a8 |

12 | 1b20140 |

13 | 126ac32 |

14 | aa0c36 |

15 | 78d150 |

hex | 57f6c0 |

5764800 has 84 divisors (see below), whose sum is σ = 18929096. Its totient is φ = 1536000.

The previous prime is 5764799. The next prime is 5764817. The reversal of 5764800 is 84675.

It is a happy number.

5764800 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 7^{8}-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

5764800 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

Being equal to 7×7^{7}-1, it is a generalized Woodall number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4200 + ... + 5400.

Almost surely, 2^{5764800} is an apocalyptic number.

5764800 is a gapful number since it is divisible by the number (50) 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 5764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9464548).

5764800 is an abundant number, since it is smaller than the sum of its proper divisors (13164296).

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

5764800 is a wasteful number, since it uses less digits than its factorization.

5764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5764800 is about 2400.9997917534. Note that the first 3 decimals coincide. The cubic root of 5764800 is about 179.3059694233.

The spelling of 5764800 in words is "five million, seven hundred sixty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1201 1600 2400 2402 3603 4800 4804 6005 7206 9608 12010 14412 18015 19216 24020 28824 30025 36030 38432 48040 57648 60050 72060 76864 90075 96080 115296 120100 144120 180150 192160 230592 240200 288240 360300 384320 480400 576480 720600 960800 1152960 1441200 1921600 2882400 5764800

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