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

bin | 110001001011… |

… | …001000000001 |

3 | 220020220121120 |

4 | 301023020001 |

5 | 11300000000 |

6 | 1140142453 |

7 | 214365666 |

oct | 61131001 |

9 | 26226546 |

10 | 12890625 |

11 | 7304a10 |

12 | 4397a29 |

13 | 28944b7 |

14 | 19d7a6d |

15 | 11e96a0 |

hex | c4b201 |

12890625 has 36 divisors (see below), whose sum is σ = 23437488. Its totient is φ = 6250000.

The previous prime is 12890617. The next prime is 12890629. The reversal of 12890625 is 52609821.

It is an automorphic number since its square, 166168212890625, ends in 12890625.

It is a trimorphic number since its cube, 2142012119293212890625, ends in 12890625.

It is not a de Polignac number, because 12890625 - 2^{3} = 12890617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12890629) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1171870 + ... + 1171880.

Almost surely, 2^{12890625} is an apocalyptic number.

12890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12890625 is a deficient number, since it is larger than the sum of its proper divisors (10546863).

12890625 is an frugal number, since it uses more digits than its factorization.

12890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 12890625 is about 3590.3516540863. The cubic root of 12890625 is about 234.4721819209.

Multiplying 12890625 by its sum of digits (33), we get a square (425390625 = 20625^{2}).

12890625 divided by its sum of digits (33) gives a 8-th power (390625 = 5^{8}).

The spelling of 12890625 in words is "twelve million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 625 825 1375 1875 3125 4125 6875 9375 15625 20625 34375 46875 78125 103125 171875 234375 390625 515625 859375 1171875 2578125 4296875 12890625

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