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

bin | 11110100001001000000000 |

3 | 120001102221022 |

4 | 132201020000 |

5 | 4022000000 |

6 | 443245012 |

7 | 124666421 |

oct | 36411000 |

9 | 16042838 |

10 | 8000000 |

11 | 4574578 |

12 | 2819768 |

13 | 1871438 |

14 | 10c3648 |

15 | a80585 |

hex | 7a1200 |

8000000 has 70 divisors (see below), whose sum is σ = 19980213. Its totient is φ = 3200000.

The previous prime is 7999993. The next prime is 8000009. The reversal of 8000000 is 8.

The cubic root of 8000000 is 200.

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

8000000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 6635776 = 1168^2 + 2576^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=2000.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1599998 + ... + 1600002.

Almost surely, 2^{8000000} is an apocalyptic number.

8000000 is a gapful number since it is divisible by the number (80) 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 8000000

8000000 is an abundant number, since it is smaller than the sum of its proper divisors (11980213).

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

8000000 is an frugal number, since it uses more digits than its factorization.

8000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 8000000 is about 2828.4271247462.

The spelling of 8000000 in words is "eight million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 320000 400000 500000 800000 1000000 1600000 2000000 4000000 8000000

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.075 sec. • engine limits •