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

bin | 1001110001000000000000 |

3 | 11211001122211 |

4 | 21301000000 |

5 | 1123410000 |

6 | 130511504 |

7 | 30521362 |

oct | 11610000 |

9 | 4731584 |

10 | 2560000 |

11 | 1499403 |

12 | a35594 |

13 | 6b82c1 |

14 | 4a8d32 |

15 | 3587ba |

hex | 271000 |

2560000 has 65 divisors (see below), whose sum is σ = 6397171. Its totient is φ = 1024000.

The previous prime is 2559989. The next prime is 2560021. The reversal of 2560000 is 652.

Adding to 2560000 its reverse (652), we get a palindrome (2560652).

It can be divided in two parts, 25 and 60000, that added together give a square (60025 = 245^{2}).

The square root of 2560000 is 1600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 2359296 = 448^2 + 1536^2 .

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 511998 + ... + 512002.

2^{2560000} is an apocalyptic number.

2560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2560000 is the 1600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560000

2560000 is an abundant number, since it is smaller than the sum of its proper divisors (3837171).

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

2560000 is an frugal number, since it uses more digits than its factorization.

2560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 2560000 is about 136.7980757341.

The spelling of 2560000 in words is "two million, five hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 10000 10240 12800 16000 20000 20480 25600 32000 40000 51200 64000 80000 102400 128000 160000 256000 320000 512000 640000 1280000 2560000

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