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

bin | 101010011101… |

… | …000001000000 |

3 | 202221101222100 |

4 | 222131001000 |

5 | 10322111041 |

6 | 1034310400 |

7 | 163410522 |

oct | 52350100 |

9 | 22841870 |

10 | 11128896 |

11 | 6311339 |

12 | 3888400 |

13 | 23c865c |

14 | 1699a12 |

15 | e9c6b6 |

hex | a9d040 |

11128896 has 63 divisors (see below), whose sum is σ = 32130111. Its totient is φ = 3682944.

The previous prime is 11128891. The next prime is 11128903. The reversal of 11128896 is 69882111.

The square root of 11128896 is 3336.

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 (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6912) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number *n* which added to its sum of digits gives 11128896.

It is not an unprimeable number, because it can be changed into a prime (11128891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79995 + ... + 80133.

Almost surely, 2^{11128896} is an apocalyptic number.

11128896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11128896 is the 3336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11128896

11128896 is an abundant number, since it is smaller than the sum of its proper divisors (21001215).

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

11128896 is an equidigital number, since it uses as much as digits as its factorization.

11128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 144 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The cubic root of 11128896 is about 223.2633111339.

Multiplying 11128896 by its sum of digits (36), we get a square (400640256 = 20016^{2}).

11128896 divided by its sum of digits (36) gives a square (309136 = 556^{2}).

The spelling of 11128896 in words is "eleven million, one hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 19321 20016 26688 38642 40032 57963 77284 80064 115926 154568 173889 231852 309136 347778 463704 618272 695556 927408 1236544 1391112 1854816 2782224 3709632 5564448 11128896

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