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

bin | 1010001011001010100000 |

3 | 12000111200000 |

4 | 22023022200 |

5 | 1140322133 |

6 | 133100000 |

7 | 31446000 |

oct | 12131240 |

9 | 5014600 |

10 | 2667168 |

11 | 1561979 |

12 | a87600 |

13 | 72500a |

14 | 4d6000 |

15 | 37a413 |

hex | 28b2a0 |

2667168 has 144 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 762048.

The previous prime is 2667167. The next prime is 2667187. The reversal of 2667168 is 8617662.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2667168^{2} = 14227570280448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (24192) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2667167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381021 + ... + 381027.

It is an arithmetic number, because the mean of its divisors is an integer number (63700).

2^{2667168} is an apocalyptic number.

2667168 is a gapful number since it is divisible by the number (28) 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 2667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

2667168 is an abundant number, since it is smaller than the sum of its proper divisors (6505632).

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

2667168 is an frugal number, since it uses more digits than its factorization.

2667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2667168 is about 1633.1466559988. The cubic root of 2667168 is about 138.6809444536.

2667168 divided by its sum of digits (36) gives a cube (74088 = 42^{3}).

Multiplying 2667168 by its product of digits (24192), we get a 4-th power (64524128256 = 504^{4}).

The spelling of 2667168 in words is "two million, six hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 243 252 288 294 324 336 343 378 392 432 441 486 504 567 588 648 672 686 756 784 864 882 972 1008 1029 1134 1176 1296 1323 1372 1512 1568 1701 1764 1944 2016 2058 2268 2352 2592 2646 2744 3024 3087 3402 3528 3888 3969 4116 4536 4704 5292 5488 6048 6174 6804 7056 7776 7938 8232 9072 9261 10584 10976 11907 12348 13608 14112 15876 16464 18144 18522 21168 23814 24696 27216 27783 31752 32928 37044 42336 47628 49392 54432 55566 63504 74088 83349 95256 98784 111132 127008 148176 166698 190512 222264 296352 333396 381024 444528 666792 889056 1333584 2667168

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