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

bin | 101110010100… |

… | …111100110000 |

3 | 211212000000210 |

4 | 232110330300 |

5 | 11102110212 |

6 | 1112144120 |

7 | 205140336 |

oct | 56247460 |

9 | 24760023 |

10 | 12144432 |

11 | 6945323 |

12 | 4098040 |

13 | 2692971 |

14 | 1881b56 |

15 | 10ed53c |

hex | b94f30 |

12144432 has 30 divisors (see below), whose sum is σ = 31435612. Its totient is φ = 4040096.

The previous prime is 12144413. The next prime is 12144463. The reversal of 12144432 is 23444121.

Multipling 12144432 by its product of digits (768), we get a square (9326923776 = 96576^{2}).

Adding to 12144432 its reverse (23444121), we get a palindrome (35588553).

12144432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 12144399 and 12144408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23893 + ... + 24395.

Almost surely, 2^{12144432} is an apocalyptic number.

12144432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12144432 is an abundant number, since it is smaller than the sum of its proper divisors (19291180).

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

12144432 is an frugal number, since it uses more digits than its factorization.

12144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 508 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 12144432 is about 3484.8862248286. The cubic root of 12144432 is about 229.8577065669.

The spelling of 12144432 in words is "twelve million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 503 1006 1509 2012 3018 4024 6036 8048 12072 24144 253009 506018 759027 1012036 1518054 2024072 3036108 4048144 6072216 12144432

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