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

bin | 111110000000110011110 |

3 | 10211020102101 |

4 | 13300012132 |

5 | 1010011110 |

6 | 111315314 |

7 | 23162200 |

oct | 7600636 |

9 | 3736371 |

10 | 2032030 |

11 | 1168770 |

12 | 81bb3a |

13 | 561bb0 |

14 | 3ac770 |

15 | 2a213a |

hex | 1f019e |

2032030 has 96 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 564480.

The previous prime is 2032021. The next prime is 2032039. The reversal of 2032030 is 302302.

2032030 divided by its sum of digits (10) gives a triangular number (203203 = T_{637}).

Adding to 2032030 its reverse (302302), we get a palindrome (2334332).

It is an interprime number because it is at equal distance from previous prime (2032021) and next prime (2032039).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2031998 and 2032016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70056 + ... + 70084.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

2^{2032030} is an apocalyptic number.

2032030 is an abundant number, since it is smaller than the sum of its proper divisors (3139010).

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

2032030 is a wasteful number, since it uses less digits than its factorization.

2032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2032030 is about 1425.4928972113. The cubic root of 2032030 is about 126.6611339535.

The spelling of 2032030 in words is "two million, thirty-two thousand, thirty", and thus it is an eban number.

Divisors: 1 2 5 7 10 11 13 14 22 26 29 35 49 55 58 65 70 77 91 98 110 130 143 145 154 182 203 245 286 290 319 377 385 406 455 490 539 637 638 715 754 770 910 1001 1015 1078 1274 1421 1430 1595 1885 2002 2030 2233 2639 2695 2842 3185 3190 3770 4147 4466 5005 5278 5390 6370 7007 7105 8294 10010 11165 13195 14014 14210 15631 18473 20735 22330 26390 29029 31262 35035 36946 41470 58058 70070 78155 92365 145145 156310 184730 203203 290290 406406 1016015 2032030

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