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

bin | 11011001100100000000 |

3 | 1200021102001 |

4 | 3121210000 |

5 | 212004021 |

6 | 31033344 |

7 | 10401031 |

oct | 3314400 |

9 | 1607361 |

10 | 891136 |

11 | 559584 |

12 | 36b854 |

13 | 2527cc |

14 | 192a88 |

15 | 129091 |

hex | d9900 |

891136 has 27 divisors (see below), whose sum is σ = 1809451. Its totient is φ = 438016.

The previous prime is 891133. The next prime is 891151. The reversal of 891136 is 631198.

It is a happy number.

The square root of 891136 is 944.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (891133) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 15075 + ... + 15133.

891136 is a Friedman number, since it can be written as (936+8)^(1+1), using all its digits and the basic arithmetic operations.

2^{891136} is an apocalyptic number.

891136 is the 944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891136

891136 is an abundant number, since it is smaller than the sum of its proper divisors (918315).

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

891136 is an frugal number, since it uses more digits than its factorization.

891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 61 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The cubic root of 891136 is about 96.2309255506.

Multiplying 891136 by its product of digits (1296), we get a square (1154912256 = 33984^{2}).

It can be divided in two parts, 89 and 1136, that added together give a triangular number (1225 = T_{49}).

The spelling of 891136 in words is "eight hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1888 3481 3776 6962 7552 13924 15104 27848 55696 111392 222784 445568 891136

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