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

bin | 101000011110… |

… | …000111110001 |

3 | 201222000000000 |

4 | 220132013301 |

5 | 10203443022 |

6 | 1015220213 |

7 | 156114300 |

oct | 50360761 |

9 | 21860000 |

10 | 10609137 |

11 | 5a96890 |

12 | 3677669 |

13 | 2275bc6 |

14 | 15a2437 |

15 | de86ac |

hex | a1e1f1 |

10609137 has 60 divisors (see below), whose sum is σ = 20194416. Its totient is φ = 5511240.

The previous prime is 10609133. The next prime is 10609153. The reversal of 10609137 is 73190601.

10609137 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 is not a de Polignac number, because 10609137 - 2^{2} = 10609133 is a prime.

It is a super-2 number, since 2×10609137^{2} = 225107575769538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Leyland number of the form 9^{6} + 6^{9}.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10609137.

It is not an unprimeable number, because it can be changed into a prime (10609133) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 964462 + ... + 964472.

Almost surely, 2^{10609137} is an apocalyptic number.

It is an amenable number.

10609137 is a deficient number, since it is larger than the sum of its proper divisors (9585279).

10609137 is an frugal number, since it uses more digits than its factorization.

10609137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10609137 is about 3257.1670205871. The cubic root of 10609137 is about 219.7320221987.

Adding to 10609137 its reverse (73190601), we get a palindrome (83799738).

The spelling of 10609137 in words is "ten million, six hundred nine thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 243 297 441 539 567 693 729 891 1323 1617 1701 2079 2187 2673 3969 4851 5103 6237 6561 8019 11907 14553 15309 18711 19683 24057 35721 43659 45927 56133 72171 107163 130977 137781 168399 216513 321489 392931 505197 964467 1178793 1515591 3536379 10609137

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