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

bin | 100101000011000110000 |

3 | 2021200021222 |

4 | 10220120300 |

5 | 302322000 |

6 | 42004212 |

7 | 13214234 |

oct | 4503060 |

9 | 2250258 |

10 | 1214000 |

11 | 75a107 |

12 | 4a6668 |

13 | 336758 |

14 | 2385c4 |

15 | 18ea85 |

hex | 128630 |

1214000 has 40 divisors (see below), whose sum is σ = 2940288. Its totient is φ = 484800.

The previous prime is 1213981. The next prime is 1214011. The reversal of 1214000 is 4121.

Adding to 1214000 its reverse (4121), we get a palindrome (1218121).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1697 + ... + 2303.

2^{1214000} is an apocalyptic number.

1214000 is a gapful number since it is divisible by the number (10) 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 1214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470144).

1214000 is an abundant number, since it is smaller than the sum of its proper divisors (1726288).

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

1214000 is an equidigital number, since it uses as much as digits as its factorization.

1214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 614 counting only the distinct ones).

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

The square root of 1214000 is about 1101.8166816671. The cubic root of 1214000 is about 106.6775162575.

The spelling of 1214000 in words is "one million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 607 1000 1214 2000 2428 3035 4856 6070 9712 12140 15175 24280 30350 48560 60700 75875 121400 151750 242800 303500 607000 1214000

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