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

bin | 11011001010010010000 |

3 | 1200012211222 |

4 | 3121102100 |

5 | 211440000 |

6 | 31024212 |

7 | 10364516 |

oct | 3312220 |

9 | 1605758 |

10 | 890000 |

11 | 558741 |

12 | 36b068 |

13 | 252137 |

14 | 1924b6 |

15 | 128a85 |

hex | d9490 |

890000 has 50 divisors (see below), whose sum is σ = 2178990. Its totient is φ = 352000.

The previous prime is 889997. The next prime is 890003. The reversal of 890000 is 98.

It is an interprime number because it is at equal distance from previous prime (889997) and next prime (890003).

It can be written as a sum of positive squares in 5 ways, for example, as 495616 + 394384 = 704^2 + 628^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (890003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9956 + ... + 10044.

2^{890000} is an apocalyptic number.

890000 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 890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089495).

890000 is an abundant number, since it is smaller than the sum of its proper divisors (1288990).

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

890000 is an equidigital number, since it uses as much as digits as its factorization.

890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 890000 is about 943.3981132057. The cubic root of 890000 is about 96.1900171608.

Adding to 890000 its reverse (98), we get a palindrome (890098).

The spelling of 890000 in words is "eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3560 4450 5000 7120 8900 10000 11125 17800 22250 35600 44500 55625 89000 111250 178000 222500 445000 890000

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