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

bin | 1010001101110… |

… | …01101010010000 |

3 | 12222020202121100 |

4 | 11012321222100 |

5 | 133414220440 |

6 | 12300424400 |

7 | 2060253000 |

oct | 506715220 |

9 | 188222540 |

10 | 85695120 |

11 | 44411015 |

12 | 24848100 |

13 | 149a5694 |

14 | b54a000 |

15 | 77cb230 |

hex | 51b9a90 |

85695120 has 240 divisors, whose sum is σ = 336585600. Its totient is φ = 19531008.

The previous prime is 85695107. The next prime is 85695121. The reversal of 85695120 is 2159658.

It can be divided in two parts, 8569 and 5120, that added together give a square (13689 = 117^{2}).

It is a happy number.

85695120 is a *`hidden beast`* number, since 85 + 69 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85695121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246787 + ... + 247133.

It is an arithmetic number, because the mean of its divisors is an integer number (1402440).

Almost surely, 2^{85695120} is an apocalyptic number.

85695120 is a gapful number since it is divisible by the number (80) 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 85695120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168292800).

85695120 is an abundant number, since it is smaller than the sum of its proper divisors (250890480).

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

85695120 is a wasteful number, since it uses less digits than its factorization.

85695120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85695120 is about 9257.1658729873. The cubic root of 85695120 is about 440.8782732819.

The spelling of 85695120 in words is "eighty-five million, six hundred ninety-five thousand, one hundred twenty".

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