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

bin | 1000001000100000011000 |

3 | 11000022112200 |

4 | 20020200120 |

5 | 1021210432 |

6 | 113410200 |

7 | 24056502 |

oct | 10104030 |

9 | 4008480 |

10 | 2131992 |

11 | 1226885 |

12 | 869960 |

13 | 598545 |

14 | 3d6d72 |

15 | 2c1a7c |

hex | 208818 |

2131992 has 24 divisors (see below), whose sum is σ = 5774340. Its totient is φ = 710640.

The previous prime is 2131991. The next prime is 2132003. The reversal of 2131992 is 2991312.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14734 + ... + 14877.

2^{2131992} is an apocalyptic number.

It is an amenable number.

2131992 is an abundant number, since it is smaller than the sum of its proper divisors (3642348).

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

2131992 is a wasteful number, since it uses less digits than its factorization.

2131992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29623 (or 29616 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2131992 is about 1460.1342404039. The cubic root of 2131992 is about 128.7049322264.

The spelling of 2131992 in words is "two million, one hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29611 59222 88833 118444 177666 236888 266499 355332 532998 710664 1065996 2131992

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