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

bin | 100000000000… |

… | …0000000000000 |

3 | 1011120101000101 |

4 | 1000000000000 |

5 | 13243332331 |

6 | 1355332144 |

7 | 262414111 |

oct | 100000000 |

9 | 34511011 |

10 | 16777216 |

11 | 9519a75 |

12 | 5751054 |

13 | 3625561 |

14 | 232a208 |

15 | 1716061 |

hex | 1000000 |

16777216 has 25 divisors (see below), whose sum is σ = 33554431. Its totient is φ = 8388608.

The previous prime is 16777213. The next prime is 16777259. The reversal of 16777216 is 61277761.

The square root of 16777216 is 4096.

The cubic root of 16777216 is 256.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 8-th power, a 12-th power, a 24-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{24}.

It is a Duffinian number.

Its product of digits (24696) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16777213) by changing a digit.

In principle, a polygon with 16777216 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{16777216} is an apocalyptic number.

16777216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16777216 is the 4096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16777216

16777216 is a deficient number, since it is larger than the sum of its proper divisors (16777215).

16777216 is an frugal number, since it uses more digits than its factorization.

16777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 2 counting only the distinct ones).

The product of its digits is 24696, while the sum is 37.

The spelling of 16777216 in words is "sixteen million, seven hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216

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