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

bin | 100111011101000 |

3 | 1000201011 |

4 | 10323220 |

5 | 1121300 |

6 | 233304 |

7 | 112615 |

oct | 47350 |

9 | 30634 |

10 | 20200 |

11 | 141a4 |

12 | b834 |

13 | 926b |

14 | 750c |

15 | 5eba |

hex | 4ee8 |

20200 has 24 divisors (see below), whose sum is σ = 47430. Its totient is φ = 8000.

The previous prime is 20183. The next prime is 20201. The reversal of 20200 is 202.

Adding to 20200 its reverse (202), we get a palindrome (20402).

Multipling 20200 by its reverse (202), we get a square (4080400 = 2020^{2}).

20200 divided by its reverse (202) gives a square (100 = 10^{2}).

It can be written as a sum of positive squares in 3 ways, for example, as 19044 + 1156 = 138^2 + 34^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number *n* which added to its sum of digits gives 20200.

It is not an unprimeable number, because it can be changed into a prime (20201) by changing a digit.

20200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150 + ... + 250.

2^{20200} is an apocalyptic number.

20200 is a gapful number since it is divisible by the number (20) 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 20200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715).

20200 is an abundant number, since it is smaller than the sum of its proper divisors (27230).

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

20200 is a wasteful number, since it uses less digits than its factorization.

20200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 20200 is about 142.1267040355. The cubic root of 20200 is about 27.2343568157.

The spelling of 20200 in words is "twenty thousand, two hundred", and thus it is an iban number.

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