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

bin | 1100110010111… |

… | …0100000000000 |

3 | 10201222121102210 |

4 | 3030232200000 |

5 | 102214332330 |

6 | 5154142120 |

7 | 1221112002 |

oct | 314564000 |

9 | 121877383 |

10 | 53667840 |

11 | 28326496 |

12 | 15b81940 |

13 | b170a25 |

14 | 71b0372 |

15 | 4aa18b0 |

hex | 332e800 |

53667840 has 96 divisors (see below), whose sum is σ = 171793440. Its totient is φ = 14303232.

The previous prime is 53667833. The next prime is 53667847. The reversal of 53667840 is 4876635.

It is an interprime number because it is at equal distance from previous prime (53667833) and next prime (53667847).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (53667847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29847 + ... + 31593.

It is an arithmetic number, because the mean of its divisors is an integer number (1789515).

Almost surely, 2^{53667840} 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 53667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896720).

53667840 is an abundant number, since it is smaller than the sum of its proper divisors (118125600).

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

53667840 is a wasteful number, since it uses less digits than its factorization.

53667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 53667840 is about 7325.8337409472. The cubic root of 53667840 is about 377.1997290596.

The spelling of 53667840 in words is "fifty-three million, six hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1747 1920 2048 2560 3072 3494 3840 5120 5241 6144 6988 7680 8735 10240 10482 13976 15360 17470 20964 26205 27952 30720 34940 41928 52410 55904 69880 83856 104820 111808 139760 167712 209640 223616 279520 335424 419280 447232 559040 670848 838560 894464 1118080 1341696 1677120 1788928 2236160 2683392 3354240 3577856 4472320 5366784 6708480 8944640 10733568 13416960 17889280 26833920 53667840

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