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

bin | 1001101001001101100100 |

3 | 11202102220100 |

4 | 21221031210 |

5 | 1121344400 |

6 | 130104100 |

7 | 30326361 |

oct | 11511544 |

9 | 4672810 |

10 | 2528100 |

11 | 1477443 |

12 | a1b030 |

13 | 6a6923 |

14 | 49b468 |

15 | 34e100 |

hex | 269364 |

2528100 has 81 divisors (see below), whose sum is σ = 8076523. Its totient is φ = 661440.

The previous prime is 2528077. The next prime is 2528129. The reversal of 2528100 is 18252.

2528100 = T_{173} + T_{174} + ... +
T_{272}.

The square root of 2528100 is 1590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 2509056 = 138^2 + 1584^2 .

It is a super-2 number, since 2×2528100^{2} = 12782579220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47674 + ... + 47726.

2^{2528100} is an apocalyptic number.

2528100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2528100 is the 1590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2528100

2528100 is an abundant number, since it is smaller than the sum of its proper divisors (5548423).

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

2528100 is a wasteful number, since it uses less digits than its factorization.

2528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

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

The cubic root of 2528100 is about 136.2274883549.

It can be divided in two parts, 2528 and 100, that added together give a triangular number (2628 = T_{72}).

The spelling of 2528100 in words is "two million, five hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 150 159 180 212 225 265 300 318 450 477 530 636 795 900 954 1060 1325 1590 1908 2385 2650 2809 3180 3975 4770 5300 5618 7950 8427 9540 11236 11925 14045 15900 16854 23850 25281 28090 33708 42135 47700 50562 56180 70225 84270 101124 126405 140450 168540 210675 252810 280900 421350 505620 632025 842700 1264050 2528100

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