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

bin | 100001010000110010000 |

3 | 2001101010000 |

4 | 10022012100 |

5 | 234334221 |

6 | 35210000 |

7 | 12156441 |

oct | 4120620 |

9 | 2041100 |

10 | 1089936 |

11 | 684981 |

12 | 446900 |

13 | 2c2143 |

14 | 2052c8 |

15 | 167e26 |

hex | 10a190 |

1089936 has 75 divisors (see below), whose sum is σ = 3267121. Its totient is φ = 350784.

The previous prime is 1089919. The next prime is 1089941. The reversal of 1089936 is 6399801.

Multipling 1089936 by its sum of digits (36), we get a square (39237696 = 6264^{2}).

1089936 divided by its sum of digits (36) gives a square (30276 = 174^{2}).

Multipling 1089936 by its product of nonzero digits (11664), we get a square (12713013504 = 112752^{2}).

It can be divided in two parts, 1089 and 936, that added together give a square (2025 = 45^{2}).

The square root of 1089936 is 1044.

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

It can be written as a sum of positive squares in only one way, i.e., 571536 + 518400 = 756^2 + 720^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1089936.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37570 + ... + 37598.

2^{1089936} is an apocalyptic number.

1089936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1089936 is the 1044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089936

1089936 is an abundant number, since it is smaller than the sum of its proper divisors (2177185).

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

1089936 is an equidigital number, since it uses as much as digits as its factorization.

1089936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 1089936 is about 102.9122323939.

The spelling of 1089936 in words is "one million, eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 841 1044 1296 1392 1566 1682 2088 2349 2523 3132 3364 4176 4698 5046 6264 6728 7569 9396 10092 12528 13456 15138 18792 20184 22707 30276 37584 40368 45414 60552 68121 90828 121104 136242 181656 272484 363312 544968 1089936

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