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

bin | 100000101101000000000 |

3 | 2000102222111 |

4 | 10011220000 |

5 | 233242431 |

6 | 34545104 |

7 | 12052150 |

oct | 4055000 |

9 | 2012874 |

10 | 1071616 |

11 | 672137 |

12 | 438194 |

13 | 2b69c0 |

14 | 1dc760 |

15 | 1627b1 |

hex | 105a00 |

1071616 has 80 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 405504.

The previous prime is 1071601. The next prime is 1071641. The reversal of 1071616 is 6161701.

It is a super-2 number, since 2×1071616^{2} = 2296721702912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46581 + ... + 46603.

2^{1071616} is an apocalyptic number.

1071616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1071616 is the 598-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

1071616 is an abundant number, since it is smaller than the sum of its proper divisors (1678208).

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

1071616 is an equidigital number, since it uses as much as digits as its factorization.

1071616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1071616 is about 1035.1888716558. The cubic root of 1071616 is about 102.3323772282.

The spelling of 1071616 in words is "one million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 256 299 322 364 368 416 448 512 598 644 728 736 832 896 1196 1288 1456 1472 1664 1792 2093 2392 2576 2912 2944 3328 3584 4186 4784 5152 5824 5888 6656 8372 9568 10304 11648 11776 16744 19136 20608 23296 33488 38272 41216 46592 66976 76544 82432 133952 153088 267904 535808 1071616

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