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

bin | 1101000011000000000 |

3 | 210201110002 |

4 | 1220120000 |

5 | 102140040 |

6 | 13055132 |

7 | 3430262 |

oct | 1503000 |

9 | 721402 |

10 | 427520 |

11 | 272225 |

12 | 1874a8 |

13 | 11c792 |

14 | b1b32 |

15 | 86a15 |

hex | 68600 |

427520 has 40 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 169984.

The previous prime is 427517. The next prime is 427523. The reversal of 427520 is 25724.

It is an interprime number because it is at equal distance from previous prime (427517) and next prime (427523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 427492 and 427501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 427520.

It is not an unprimeable number, because it can be changed into a prime (427523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2477 + ... + 2643.

2^{427520} is an apocalyptic number.

427520 is a gapful number since it is divisible by the number (40) 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 427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

427520 is an abundant number, since it is smaller than the sum of its proper divisors (603664).

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

427520 is an equidigital number, since it uses as much as digits as its factorization.

427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 427520 is about 653.8501357345. The cubic root of 427520 is about 75.3330374768. Note that the first 3 decimals are identical.

The spelling of 427520 in words is "four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 256 320 334 512 640 668 835 1280 1336 1670 2560 2672 3340 5344 6680 10688 13360 21376 26720 42752 53440 85504 106880 213760 427520

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.045 sec. • engine limits •