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

bin | 100110110101… |

… | …110110000100 |

3 | 201011022002212 |

4 | 212311312010 |

5 | 10101311040 |

6 | 1002122552 |

7 | 152355122 |

oct | 46656604 |

9 | 21138085 |

10 | 10182020 |

11 | 58249a2 |

12 | 34b0458 |

13 | 2156684 |

14 | 14d0912 |

15 | d61d65 |

hex | 9b5d84 |

10182020 has 12 divisors (see below), whose sum is σ = 21382284. Its totient is φ = 4072800.

The previous prime is 10181999. The next prime is 10182023. The reversal of 10182020 is 2028101.

10182020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1085764 + 9096256 = 1042^2 + 3016^2 .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10181986 and 10182004.

It is not an unprimeable number, because it can be changed into a prime (10182023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254531 + ... + 254570.

It is an arithmetic number, because the mean of its divisors is an integer number (1781857).

Almost surely, 2^{10182020} is an apocalyptic number.

10182020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10182020 is an abundant number, since it is smaller than the sum of its proper divisors (11200264).

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

10182020 is a wasteful number, since it uses less digits than its factorization.

10182020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509110 (or 509108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10182020 is about 3190.9277647731. The cubic root of 10182020 is about 216.7427845640.

The spelling of 10182020 in words is "ten million, one hundred eighty-two thousand, twenty".

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