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

bin | 1111100100001100010000 |

3 | 21200022020221 |

4 | 33210030100 |

5 | 2021033100 |

6 | 223242424 |

7 | 46453132 |

oct | 17441420 |

9 | 7608227 |

10 | 4080400 |

11 | 2337735 |

12 | 1449414 |

13 | acb34c |

14 | 783052 |

15 | 55901a |

hex | 3e4310 |

4080400 has 45 divisors (see below), whose sum is σ = 9901183. Its totient is φ = 1616000.

The previous prime is 4080359. The next prime is 4080403. The reversal of 4080400 is 40804.

The square root of 4080400 is 2020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 3326976 = 868^2 + 1824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4080403) 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, 40350 + ... + 40450.

Almost surely, 2^{4080400} is an apocalyptic number.

4080400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4080400 is the 2020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080400

4080400 is an abundant number, since it is smaller than the sum of its proper divisors (5820783).

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

4080400 is a wasteful number, since it uses less digits than its factorization.

4080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The cubic root of 4080400 is about 159.7966165794.

Multiplying 4080400 by its sum of digits (16), we get a square (65286400 = 8080^{2}).

4080400 divided by its sum of digits (16) gives a square (255025 = 505^{2}).

Multiplying 4080400 by its reverse (40804), we get a square (166496641600 = 408040^{2}).

4080400 divided by its reverse (40804) gives a square (100 = 10^{2}).

The spelling of 4080400 in words is "four million, eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 10201 20200 20402 40400 40804 51005 81608 102010 163216 204020 255025 408040 510050 816080 1020100 2040200 4080400

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