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

bin | 1100010000100… |

… | …01011110010000 |

3 | 21011111102000012 |

4 | 12020101132100 |

5 | 202311111031 |

6 | 14112014052 |

7 | 2356025540 |

oct | 610213620 |

9 | 234442005 |

10 | 102832016 |

11 | 53056241 |

12 | 2a531328 |

13 | 183c5861 |

14 | d92b320 |

15 | 9063b2b |

hex | 6211790 |

102832016 has 20 divisors (see below), whose sum is σ = 227699712. Its totient is φ = 44070816.

The previous prime is 102832013. The next prime is 102832019. The reversal of 102832016 is 610238201.

It is an interprime number because it is at equal distance from previous prime (102832013) and next prime (102832019).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 102831982 and 102832000.

It is not an unprimeable number, because it can be changed into a prime (102832013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458960 + ... + 459183.

Almost surely, 2^{102832016} is an apocalyptic number.

102832016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102832016 is an abundant number, since it is smaller than the sum of its proper divisors (124867696).

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

102832016 is an equidigital number, since it uses as much as digits as its factorization.

102832016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918158 (or 918152 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 102832016 is about 10140.6122103155. The cubic root of 102832016 is about 468.4998433885.

The spelling of 102832016 in words is "one hundred two million, eight hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 918143 1836286 3672572 6427001 7345144 12854002 14690288 25708004 51416008 102832016

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