Home
Class 14
MATHS
The sum of the divisors of 2^3 .3^4 .5^2...

The sum of the divisors of `2^3 .3^4 .5^2` is:

A

15625

B

1234

C

56265

D

56789

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

  • PROBABILITY

    QUANTUM CAT|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

The sum of divisors of 2^(5)3^(4) is

The sum of the divisors of 2^(5)xx3^(4)xx5^(2) , is

The sum of the divisors of 2^(5).3^(7).5^(3).7^(2), is

The number of divisors of 2^(4).3^(3).5^(2), having two prime factors,is

Consider the natural number n=453600. Statement-1: The number of divisors of n is 180. Statement-2: The sum of the divisors of n is ((2^(6)-1)(3^(5)-1)(5^(3)-1)(7^(2)-1))/(48)

STATEMENT -1: The tens digit of 1! + 2! + 3! + 4! + 5! +........... + 50! is 1. STATEMENT-2 : The sum of divisors of 2^(4)3^(5)5^(2)7^(3) is 2^(5).3^(6).5^(3).7^(4) - 2.3.5.7.

The number of positive divisors of 2^(5)3^(6)7^(3) is

If the number of ways of selecting 3 numbers out of 1, 2, 3, ……., 2n+1 such that they are in arithmetic progression is 441, then the sum of the divisors of n is equal to

Number of divisors of 2^2 . 3^3 . 5^3 . 7^5 of the form 4n+1', is (A) 46 (B) 47 (C) 96 (D) none of these

QUANTUM CAT-PERMUTATIONS & COMBINATIONS-QUESTION BANK
  1. How many 10 digits numbers can be formed by using the digits 2 and 3?

    Text Solution

    |

  2. How many subsets containing at most n elements from the set of (2n+1) ...

    Text Solution

    |

  3. The sum of the divisors of 2^3 .3^4 .5^2 is:

    Text Solution

    |

  4. The number of ways of selecting 10 balls from unlimited number of red,...

    Text Solution

    |

  5. If 10 objects are arranged in a row, then the number of ways of select...

    Text Solution

    |

  6. The number of non-negative integral solution x1 + x2 + x3 + x4 <=n (wh...

    Text Solution

    |

  7. Find the total number of permutations of n different things taken not ...

    Text Solution

    |

  8. The number of rectangles on a chess board is

    Text Solution

    |

  9. Ten persons, amongst whom are A, B and C are to speak at function. Fin...

    Text Solution

    |

  10. Find the number of natural numbers which are less than 2xx10^8 and whi...

    Text Solution

    |

  11. Ten persons are arranged in a row. The number of ways of selecting fou...

    Text Solution

    |

  12. n bit strings are made by filling the digits 0 or 1.The number of stri...

    Text Solution

    |

  13. A question paper has two parts-Part A and Part B. Part A contains 5 qu...

    Text Solution

    |

  14. How many different vehicle licence plates can be made if the licences ...

    Text Solution

    |

  15. In the previous question (no.46), how many different plates can be for...

    Text Solution

    |

  16. 2m people are arranged along two sides of a long table with m chairs e...

    Text Solution

    |

  17. Management city has m parallel roads running East-West and n parallel ...

    Text Solution

    |

  18. Priyanka has 11 different toys and supriya has 8 different roys ...

    Text Solution

    |

  19. The sum of the numbers of the n^(th) term of the series (1) +(1...

    Text Solution

    |

  20. Two packs of 52 playing crds are shuffled together . The number of way...

    Text Solution

    |