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

bin | 100110110000… |

… | …1011100010000 |

3 | 1102020110122001 |

4 | 1031201130100 |

5 | 20200301224 |

6 | 2003323344 |

7 | 334510000 |

oct | 115413420 |

9 | 42213561 |

10 | 20322064 |

11 | 105202a4 |

12 | 6980554 |

13 | 4296bb9 |

14 | 29b0000 |

15 | 1bb6544 |

hex | 1361710 |

20322064 has 75 divisors (see below), whose sum is σ = 48017543. Its totient is φ = 8330784.

The previous prime is 20322061. The next prime is 20322073. The reversal of 20322064 is 46022302.

The square root of 20322064 is 4508.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (20322061) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 883557 + ... + 883579.

Almost surely, 2^{20322064} is an apocalyptic number.

20322064 is the 4508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322064

20322064 is an abundant number, since it is smaller than the sum of its proper divisors (27695479).

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

20322064 is an frugal number, since it uses more digits than its factorization.

20322064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 20322064 is about 272.8910369447.

Multiplying 20322064 by its product of nonzero digits (576), we get a square (11705508864 = 108192^{2}).

Adding to 20322064 its reverse (46022302), we get a palindrome (66344366).

It can be divided in two parts, 2032 and 2064, that added together give a 12-th power (4096 = 2^{12}).

The spelling of 20322064 in words is "twenty million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 343 368 392 529 644 686 784 1058 1127 1288 1372 2116 2254 2401 2576 2744 3703 4232 4508 4802 5488 7406 7889 8464 9016 9604 14812 15778 18032 19208 25921 29624 31556 38416 51842 55223 59248 63112 103684 110446 126224 181447 207368 220892 362894 414736 441784 725788 883568 1270129 1451576 2540258 2903152 5080516 10161032 20322064

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