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

bin | 1000000000000000000000 |

3 | 10221112202022 |

4 | 20000000000 |

5 | 1014102102 |

6 | 112541012 |

7 | 23553101 |

oct | 10000000 |

9 | 3845668 |

10 | 2097152 |

11 | 1202692 |

12 | 851768 |

13 | 585725 |

14 | 3c83a8 |

15 | 2b65a2 |

hex | 200000 |

2097152 has 22 divisors (see below), whose sum is σ = 4194303. Its totient is φ = 1048576.

The previous prime is 2097143. The next prime is 2097169. The reversal of 2097152 is 2517902.

The cubic root of 2097152 is 128.

It is a perfect power (a cube, a 7-th power, a 21-st power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{21}.

It can be written as a sum of positive squares in only one way, i.e., 1048576 + 1048576 = 1024^2 + 1024^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=1024.

It is a super-2 number, since 2×2097152^{2} = 8796093022208, which contains 22 as substring.

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 2097152 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

2^{2097152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097152

2097152 is a deficient number, since it is larger than the sum of its proper divisors (2097151).

2097152 is an frugal number, since it uses more digits than its factorization.

2097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 2097152 is about 1448.1546878700.

The spelling of 2097152 in words is "two million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152

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