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

bin | 10110110010000000000000 |

3 | 102020102000000 |

4 | 112302000000 |

5 | 3012100333 |

6 | 332000000 |

7 | 101521662 |

oct | 26620000 |

9 | 12212000 |

10 | 5971968 |

11 | 3409912 |

12 | 2000000 |

13 | 1311312 |

14 | b16532 |

15 | 7ce713 |

hex | 5b2000 |

5971968 has 98 divisors (see below), whose sum is σ = 17906619. Its totient is φ = 1990656.

The previous prime is 5971951. The next prime is 5971993. The reversal of 5971968 is 8691795.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{3} ⋅ (3!)^{3} ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 2985984 = 1728^2 + 1728^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=1728.

Its product of digits (136080) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6 and base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1990655 + 1990656 + 1990657.

Almost surely, 2^{5971968} 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 5971968

5971968 is an abundant number, since it is smaller than the sum of its proper divisors (11934651).

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

5971968 is an frugal number, since it uses more digits than its factorization.

5971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 5 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 5971968 is about 2443.7610357807. The cubic root of 5971968 is about 181.4286311849.

It can be divided in two parts, 59 and 71968, that added together give a palindrome (72027).

The spelling of 5971968 in words is "five million, nine hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2304 2592 2916 3072 3456 3888 4096 4608 5184 5832 6144 6912 7776 8192 9216 10368 11664 12288 13824 15552 18432 20736 23328 24576 27648 31104 36864 41472 46656 55296 62208 73728 82944 93312 110592 124416 165888 186624 221184 248832 331776 373248 497664 663552 746496 995328 1492992 1990656 2985984 5971968

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