Search a number
-
+
666057672 = 233272814703
BaseRepresentation
bin100111101100110…
…011101111001000
31201102022020100200
4213230303233020
52331002321142
6150031532200
722335253050
oct4754635710
91642266320
10666057672
11311a76a95
1216708a060
13a7cb6b87
1464660560
153d71a64c
hex27b33bc8

666057672 has 96 divisors (see below), whose sum is σ = 2069383680. Its totient is φ = 189584640.

The previous prime is 666057629. The next prime is 666057677. The reversal of 666057672 is 276750666.

It is not an unprimeable number, because it can be changed into a prime (666057677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139273 + ... + 143975.

It is an arithmetic number, because the mean of its divisors is an integer number (21556080).

Almost surely, 2666057672 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 666057672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034691840).

666057672 is an abundant number, since it is smaller than the sum of its proper divisors (1403326008).

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

666057672 is a wasteful number, since it uses less digits than its factorization.

666057672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 666057672 is about 25808.0931492429. The cubic root of 666057672 is about 873.3143807760.

The spelling of 666057672 in words is "six hundred sixty-six million, fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 281 504 562 843 1124 1686 1967 2248 2529 3372 3934 4703 5058 5901 6744 7868 9406 10116 11802 14109 15736 17703 18812 20232 23604 28218 32921 35406 37624 42327 47208 56436 65842 70812 84654 98763 112872 131684 141624 169308 197526 263368 296289 338616 395052 592578 790104 1185156 1321543 2370312 2643086 3964629 5286172 7929258 9250801 10572344 11893887 15858516 18501602 23787774 27752403 31717032 37003204 47575548 55504806 74006408 83257209 95151096 111009612 166514418 222019224 333028836 666057672