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

bin | 1111101100001… |

… | …1011001110000 |

3 | 11120211121012110 |

4 | 3323003121300 |

5 | 113321441310 |

6 | 10310325320 |

7 | 1426251645 |

oct | 373033160 |

9 | 146747173 |

10 | 65812080 |

11 | 34170654 |

12 | 1a059840 |

13 | 10833579 |

14 | 8a51dcc |

15 | 5b9ed20 |

hex | 3ec3670 |

65812080 has 80 divisors (see below), whose sum is σ = 204808320. Its totient is φ = 17481984.

The previous prime is 65812073. The next prime is 65812091. The reversal of 65812080 is 8021856.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106011 + ... + 106629.

It is an arithmetic number, because the mean of its divisors is an integer number (2560104).

Almost surely, 2^{65812080} is an apocalyptic number.

65812080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102404160).

65812080 is an abundant number, since it is smaller than the sum of its proper divisors (138996240).

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

65812080 is a wasteful number, since it uses less digits than its factorization.

65812080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 65812080 is about 8112.4644837435. The cubic root of 65812080 is about 403.7400870446.

The spelling of 65812080 in words is "sixty-five million, eight hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 619 886 1238 1329 1772 1857 2215 2476 2658 3095 3544 3714 4430 4952 5316 6190 6645 7088 7428 8860 9285 9904 10632 12380 13290 14856 17720 18570 21264 24760 26580 29712 35440 37140 49520 53160 74280 106320 148560 274217 548434 822651 1096868 1371085 1645302 2193736 2742170 3290604 4113255 4387472 5484340 6581208 8226510 10968680 13162416 16453020 21937360 32906040 65812080

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