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

bin | 1001100111001111000000 |

3 | 11202000210100 |

4 | 21213033000 |

5 | 1121120000 |

6 | 130002400 |

7 | 30263640 |

oct | 11471700 |

9 | 4660710 |

10 | 2520000 |

11 | 147134a |

12 | a16400 |

13 | 6a3032 |

14 | 498520 |

15 | 34ba00 |

hex | 2673c0 |

2520000 has 210 divisors, whose sum is σ = 10315448. Its totient is φ = 576000.

The previous prime is 2519981. The next prime is 2520017. The reversal of 2520000 is 252.

It is a tau number, because it is divible by the number of its divisors (210).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359997 + ... + 360003.

2^{2520000} is an apocalyptic number.

2520000 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 2520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157724).

2520000 is an abundant number, since it is smaller than the sum of its proper divisors (7795448).

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

2520000 is an equidigital number, since it uses as much as digits as its factorization.

2520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2520000 is about 1587.4507866388. The cubic root of 2520000 is about 136.0818423191.

Adding to 2520000 its reverse (252), we get a palindrome (2520252).

Multiplying 2520000 by its reverse (252), we get a square (635040000 = 25200^{2}).

2520000 divided by its reverse (252) gives a 4-th power (10000 = 10^{4}).

The spelling of 2520000 in words is "two million, five hundred twenty thousand".

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