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

bin | 1101100101011… |

… | …01001100101001 |

3 | 21221102112201201 |

4 | 12302231030221 |

5 | 213133040000 |

6 | 15150244201 |

7 | 2552415100 |

oct | 662551451 |

9 | 257375651 |

10 | 113955625 |

11 | 59363603 |

12 | 321b6661 |

13 | 1a7bb984 |

14 | 111c5037 |

15 | a00e96a |

hex | 6cad329 |

113955625 has 45 divisors (see below), whose sum is σ = 168407811. Its totient is φ = 76860000.

The previous prime is 113955617. The next prime is 113955631. The reversal of 113955625 is 526559311.

The square root of 113955625 is 10675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 112763161 + 1192464 = 10619^2 + 1092^2 .

It is not a de Polignac number, because 113955625 - 2^{3} = 113955617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1868095 + ... + 1868155.

Almost surely, 2^{113955625} is an apocalyptic number.

113955625 is the 10675-th square number.

113955625 is the 5338-th centered octagonal number.

It is an amenable number.

113955625 is a deficient number, since it is larger than the sum of its proper divisors (54452186).

113955625 is an frugal number, since it uses more digits than its factorization.

113955625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 73 counting only the distinct ones).

The product of its digits is 40500, while the sum is 37.

The cubic root of 113955625 is about 484.8178364317.

It can be divided in two parts, 11395 and 5625, that added together give a triangular number (17020 = T_{184}).

The spelling of 113955625 in words is "one hundred thirteen million, nine hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 61 125 175 245 305 427 625 875 1225 1525 2135 2989 3721 4375 6125 7625 10675 14945 18605 26047 30625 38125 53375 74725 93025 130235 182329 266875 373625 465125 651175 911645 1868125 2325625 3255875 4558225 16279375 22791125 113955625

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