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

bin | 111101000010010000000 |

3 | 10202121111002 |

4 | 13220102000 |

5 | 1003000000 |

6 | 110511132 |

7 | 22666622 |

oct | 7502200 |

9 | 3677432 |

10 | 2000000 |

11 | 11466a2 |

12 | 8054a8 |

13 | 550442 |

14 | 3a0c12 |

15 | 2978d5 |

hex | 1e8480 |

2000000 has 56 divisors (see below), whose sum is σ = 4980405. Its totient is φ = 800000.

The previous prime is 1999993. The next prime is 2000003. The reversal of 2000000 is 2.

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.

2000000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 341056 + 1658944 = 584^2 + 1288^2 .

It is a sliding number, since 2000000 = 1000000 + 1000000 and 1/1000000 + 1/1000000 = 0.000002000000.

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=1000.

It is a Harshad number since it is a multiple of its sum of digits (2).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (2000003) 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, 399998 + ... + 400002.

2^{2000000} is an apocalyptic number.

2000000 is a gapful number since it is divisible by the number (20) 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 2000000

2000000 is an abundant number, since it is smaller than the sum of its proper divisors (2980405).

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

2000000 is an frugal number, since it uses more digits than its factorization.

2000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 2.

The square root of 2000000 is about 1414.2135623731. The cubic root of 2000000 is about 125.9921049895.

The spelling of 2000000 in words is "two million", and thus it is an aban number, an eban number, and an uban number.

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

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