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

bin | 1001000111010… |

… | …10000011001100 |

3 | 12022212101002220 |

4 | 10203222003030 |

5 | 124033044030 |

6 | 11330415340 |

7 | 1615603125 |

oct | 443520314 |

9 | 168771086 |

10 | 76456140 |

11 | 3a1806a2 |

12 | 21731550 |

13 | 12abc327 |

14 | a22304c |

15 | 6aa3a10 |

hex | 48ea0cc |

76456140 has 96 divisors (see below), whose sum is σ = 236597760. Its totient is φ = 18349056.

The previous prime is 76456087. The next prime is 76456141. The reversal of 76456140 is 4165467.

It is not an unprimeable number, because it can be changed into a prime (76456141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21831 + ... + 25089.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 2^{76456140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76456140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118298880).

76456140 is an abundant number, since it is smaller than the sum of its proper divisors (160141620).

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

76456140 is a wasteful number, since it uses less digits than its factorization.

76456140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 76456140 is about 8743.9201734691. The cubic root of 76456140 is about 424.4280934972.

The spelling of 76456140 in words is "seventy-six million, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3259 3910 4692 5865 6518 7820 9777 11730 13036 16295 19554 23460 32590 39108 48885 55403 65180 74957 97770 110806 149914 166209 195540 221612 224871 277015 299828 332418 374785 449742 554030 664836 749570 831045 899484 1108060 1124355 1274269 1499140 1662090 2248710 2548538 3324180 3822807 4497420 5097076 6371345 7645614 12742690 15291228 19114035 25485380 38228070 76456140

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