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

bin | 100110111100… |

… | …001100011001 |

3 | 201012121210000 |

4 | 212330030121 |

5 | 10103124100 |

6 | 1002443213 |

7 | 152524002 |

oct | 46741431 |

9 | 21177700 |

10 | 10208025 |

11 | 5842493 |

12 | 3503509 |

13 | 2165469 |

14 | 14da1a9 |

15 | d69900 |

hex | 9bc319 |

10208025 has 45 divisors (see below), whose sum is σ = 19178863. Its totient is φ = 5367600.

The previous prime is 10207999. The next prime is 10208027. The reversal of 10208025 is 52080201.

The square root of 10208025 is 3195.

It is a perfect power (a square), and thus also a powerful number.

10208025 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3674889 + 6533136 = 1917^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10208025 - 2^{5} = 10207993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10207989 and 10208007.

It is not an unprimeable number, because it can be changed into a prime (10208027) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 143740 + ... + 143810.

Almost surely, 2^{10208025} is an apocalyptic number.

10208025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10208025 is the 3195-th square number.

10208025 is the 1598-th centered octagonal number.

It is an amenable number.

10208025 is a deficient number, since it is larger than the sum of its proper divisors (8970838).

10208025 is an frugal number, since it uses more digits than its factorization.

10208025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The cubic root of 10208025 is about 216.9271489120.

Adding to 10208025 its reverse (52080201), we get a palindrome (62288226).

It can be divided in two parts, 1020 and 8025, that added together give a triangular number (9045 = T_{134}).

The spelling of 10208025 in words is "ten million, two hundred eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 81 135 213 225 355 405 639 675 1065 1775 1917 2025 3195 5041 5325 5751 9585 15123 15975 25205 28755 45369 47925 75615 126025 136107 143775 226845 378075 408321 680535 1134225 2041605 3402675 10208025

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