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

bin | 100110110000… |

… | …101000000000 |

3 | 201010012210000 |

4 | 212300220000 |

5 | 10100120030 |

6 | 1001440000 |

7 | 152235600 |

oct | 46605000 |

9 | 21105700 |

10 | 10160640 |

11 | 580a926 |

12 | 34a0000 |

13 | 2149a19 |

14 | 14c6c00 |

15 | d5a860 |

hex | 9b0a00 |

10160640 has 300 divisors, whose sum is σ = 42333786. Its totient is φ = 2322432.

The previous prime is 10160629. The next prime is 10160659. The reversal of 10160640 is 4606101.

10160640 is a *`hidden beast`* number, since 10 + 16 + 0 + 640 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 1016064 = 3024^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1451517 + ... + 1451523.

Almost surely, 2^{10160640} is an apocalyptic number.

10160640 is a gapful number since it is divisible by the number (10) 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 10160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21166893).

10160640 is an abundant number, since it is smaller than the sum of its proper divisors (32173146).

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

10160640 is an frugal number, since it uses more digits than its factorization.

10160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10160640 is about 3187.5758814497. The cubic root of 10160640 is about 216.5909742174.

Adding to 10160640 its reverse (4606101), we get a palindrome (14766741).

The spelling of 10160640 in words is "ten million, one hundred sixty thousand, six hundred forty".

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