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

bin | 10011110101110… |

… | …00001001110000 |

3 | 102121011111002000 |

4 | 21322320021300 |

5 | 320101214141 |

6 | 24303054000 |

7 | 4060424415 |

oct | 1172701160 |

9 | 377144060 |

10 | 166429296 |

11 | 85a43880 |

12 | 478a1300 |

13 | 28631c97 |

14 | 1816410c |

15 | e9275b6 |

hex | 9eb8270 |

166429296 has 80 divisors (see below), whose sum is σ = 521157120. Its totient is φ = 50431680.

The previous prime is 166429271. The next prime is 166429301. The reversal of 166429296 is 692924661.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12760 + ... + 22263.

It is an arithmetic number, because the mean of its divisors is an integer number (6514464).

Almost surely, 2^{166429296} is an apocalyptic number.

166429296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166429296 is an abundant number, since it is smaller than the sum of its proper divisors (354727824).

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

166429296 is a wasteful number, since it uses less digits than its factorization.

166429296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35051 (or 35039 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 166429296 is about 12900.7478852972. The cubic root of 166429296 is about 550.0598237957.

The spelling of 166429296 in words is "one hundred sixty-six million, four hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 35023 70046 105069 140092 210138 280184 315207 385253 420276 560368 630414 770506 840552 945621 1155759 1260828 1541012 1681104 1891242 2311518 2521656 3082024 3467277 3782484 4623036 5043312 6164048 6934554 7564968 9246072 10401831 13869108 15129936 18492144 20803662 27738216 41607324 55476432 83214648 166429296

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