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

bin | 10000011111001000001 |

3 | 1000110001100 |

4 | 2003321001 |

5 | 114241400 |

6 | 15325013 |

7 | 4410000 |

oct | 2037101 |

9 | 1013040 |

10 | 540225 |

11 | 339974 |

12 | 220769 |

13 | 15bb7a |

14 | 100c37 |

15 | aa100 |

hex | 83e41 |

540225 has 45 divisors (see below), whose sum is σ = 1128803. Its totient is φ = 246960.

The previous prime is 540217. The next prime is 540233. The reversal of 540225 is 522045.

Multipling 540225 by its product of nonzero digits (400), we get a square (216090000 = 14700^{2}).

The square root of 540225 is 735.

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

It is an interprime number because it is at equal distance from previous prime (540217) and next prime (540233).

It can be written as a sum of positive squares in only one way, i.e., 194481 + 345744 = 441^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 540225 - 2^{3} = 540217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 7 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 540198 and 540207.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 540225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 77172 + ... + 77178.

2^{540225} is an apocalyptic number.

540225 is the 735-th square number.

540225 is the 368-th centered octagonal number.

It is an amenable number.

540225 is an abundant number, since it is smaller than the sum of its proper divisors (588578).

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

540225 is an equidigital number, since it uses as much as digits as its factorization.

540225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The cubic root of 540225 is about 81.4438370008.

The spelling of 540225 in words is "five hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 343 441 525 735 1029 1225 1575 1715 2205 2401 3087 3675 5145 7203 8575 11025 12005 15435 21609 25725 36015 60025 77175 108045 180075 540225

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