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

bin | 1111110110100… |

… | …11100010010000 |

3 | 100021020102220100 |

4 | 13323103202100 |

5 | 233021041044 |

6 | 21110212400 |

7 | 3203241162 |

oct | 773234220 |

9 | 307212810 |

10 | 132987024 |

11 | 69082135 |

12 | 38654100 |

13 | 21723261 |

14 | 1393a932 |

15 | ba1d869 |

hex | 7ed3890 |

132987024 has 75 divisors (see below), whose sum is σ = 384584915. Its totient is φ = 42899040.

The previous prime is 132986977. The next prime is 132987031. The reversal of 132987024 is 420789231.

The square root of 132987024 is 11532.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number *n* which added to its sum of digits gives 132987024.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4289889 + ... + 4289919.

Almost surely, 2^{132987024} is an apocalyptic number.

132987024 is the 11532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132987024

132987024 is an abundant number, since it is smaller than the sum of its proper divisors (251597891).

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

132987024 is an frugal number, since it uses more digits than its factorization.

132987024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 132987024 is about 510.4302712627.

Multiplying 132987024 by its sum of digits (36), we get a square (4787532864 = 69192^{2}).

132987024 divided by its sum of digits (36) gives a square (3694084 = 1922^{2}).

The spelling of 132987024 in words is "one hundred thirty-two million, nine hundred eighty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 5766 7688 8649 11532 15376 17298 23064 29791 34596 46128 59582 69192 89373 119164 138384 178746 238328 268119 357492 476656 536238 714984 923521 1072476 1429968 1847042 2144952 2770563 3694084 4289904 5541126 7388168 8311689 11082252 14776336 16623378 22164504 33246756 44329008 66493512 132987024

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