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

bin | 101001000011… |

… | …0000110100000 |

3 | 1111111100222200 |

4 | 1102012012200 |

5 | 21002131200 |

6 | 2045133200 |

7 | 350631600 |

oct | 122060640 |

9 | 44440880 |

10 | 21520800 |

11 | 11169994 |

12 | 725a200 |

13 | 45c6702 |

14 | 2c02c00 |

15 | 1d51800 |

hex | 14861a0 |

21520800 has 324 divisors, whose sum is σ = 89724726. Its totient is φ = 4838400.

The previous prime is 21520799. The next prime is 21520831. The reversal of 21520800 is 802512.

It can be written as a sum of positive squares in 3 ways, for example, as 9659664 + 11861136 = 3108^2 + 3444^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352770 + ... + 352830.

Almost surely, 2^{21520800} is an apocalyptic number.

21520800 is a gapful number since it is divisible by the number (20) 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 21520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44862363).

21520800 is an abundant number, since it is smaller than the sum of its proper divisors (68203926).

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

21520800 is a wasteful number, since it uses less digits than its factorization.

21520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 21520800 is about 4639.0516272186. The cubic root of 21520800 is about 278.1545299622.

The spelling of 21520800 in words is "twenty-one million, five hundred twenty thousand, eight hundred".

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