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

bin | 11111010000010010000 |

3 | 1221000212021 |

4 | 3322002100 |

5 | 230233034 |

6 | 33541224 |

7 | 11463562 |

oct | 3720220 |

9 | 1830767 |

10 | 1024144 |

11 | 63a500 |

12 | 414814 |

13 | 29b204 |

14 | 1c9332 |

15 | 1536b4 |

hex | fa090 |

1024144 has 45 divisors (see below), whose sum is σ = 2280019. Its totient is φ = 445280.

The previous prime is 1024103. The next prime is 1024151. The reversal of 1024144 is 4414201.

1024144 = 52^{2} + 53^{2} + ... + 147^{2}.

The square root of 1024144 is 1012.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44517 + ... + 44539.

2^{1024144} is an apocalyptic number.

1024144 is the 1012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024144

1024144 is an abundant number, since it is smaller than the sum of its proper divisors (1255875).

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

1024144 is a wasteful number, since it uses less digits than its factorization.

1024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The cubic root of 1024144 is about 100.7984084741.

Multiplying 1024144 by its sum of digits (16), we get a square (16386304 = 4048^{2}).

1024144 divided by its sum of digits (16) gives a square (64009 = 253^{2}).

Adding to 1024144 its reverse (4414201), we get a palindrome (5438345).

Multiplying 1024144 by its reverse (4414201), we get a square (4520777468944 = 2126212^{2}).

It can be divided in two parts, 1024 and 144, that multiplied together give a square (147456 = 384^{2}).

The spelling of 1024144 in words is "one million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 529 968 1012 1058 1936 2024 2116 2783 4048 4232 5566 5819 8464 11132 11638 22264 23276 44528 46552 64009 93104 128018 256036 512072 1024144

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •