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

bin | 111111111110000000000 |

3 | 10221111100101 |

4 | 13333300000 |

5 | 1014034003 |

6 | 112532144 |

7 | 23550106 |

oct | 7776000 |

9 | 3844311 |

10 | 2096128 |

11 | 1201941 |

12 | 851054 |

13 | 585118 |

14 | 3c7c76 |

15 | 2b611d |

hex | 1ffc00 |

2096128 has 44 divisors (see below), whose sum is σ = 4421520. Its totient is φ = 991232.

The previous prime is 2096123. The next prime is 2096147. The reversal of 2096128 is 8216902.

It is a happy number.

2096128 is a nontrivial binomial coefficient, being equal to C(2048, 2).

It is an Ulam number.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2096096 and 2096105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23508 + ... + 23596.

2^{2096128} is an apocalyptic number.

2096128 is the 2047-th triangular number and also the 1024-th hexagonal number.

2096128 is the 683-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210760).

2096128 is an abundant number, since it is smaller than the sum of its proper divisors (2325392).

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

2096128 is an equidigital number, since it uses as much as digits as its factorization.

2096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2096128 is about 1447.8010913105. The cubic root of 2096128 is about 127.9791632749.

The spelling of 2096128 in words is "two million, ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 512 712 736 1024 1424 1472 2047 2848 2944 4094 5696 5888 8188 11392 11776 16376 22784 23552 32752 45568 65504 91136 131008 262016 524032 1048064 2096128

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