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

bin | 1000000101100100000000 |

3 | 10222201000011 |

4 | 20011210000 |

5 | 1020314221 |

6 | 113234304 |

7 | 24006400 |

oct | 10054400 |

9 | 3881004 |

10 | 2119936 |

11 | 1218815 |

12 | 862994 |

13 | 592c00 |

14 | 3d2800 |

15 | 2bd1e1 |

hex | 205900 |

2119936 has 81 divisors (see below), whose sum is σ = 5330241. Its totient is φ = 838656.

The previous prime is 2119921. The next prime is 2119937. The reversal of 2119936 is 6399112.

The square root of 2119936 is 1456.

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

It can be written as a sum of positive squares in only one way, i.e., 313600 + 1806336 = 560^2 + 1344^2 .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2119898 and 2119907.

It is not an unprimeable number, because it can be changed into a prime (2119937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163066 + ... + 163078.

2^{2119936} is an apocalyptic number.

2119936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2119936 is the 1456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119936

2119936 is an abundant number, since it is smaller than the sum of its proper divisors (3210305).

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

2119936 is an equidigital number, since it uses as much as digits as its factorization.

2119936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 22 counting only the distinct ones).

The product of its digits is 2916, while the sum is 31.

The cubic root of 2119936 is about 128.4618730471.

Multiplying 2119936 by its product of digits (2916), we get a square (6181733376 = 78624^{2}).

The spelling of 2119936 in words is "two million, one hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 256 338 364 392 416 448 637 676 728 784 832 896 1183 1274 1352 1456 1568 1664 1792 2366 2548 2704 2912 3136 3328 4732 5096 5408 5824 6272 8281 9464 10192 10816 11648 12544 16562 18928 20384 21632 23296 33124 37856 40768 43264 66248 75712 81536 132496 151424 163072 264992 302848 529984 1059968 2119936

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