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667133060 = 2251159103499
BaseRepresentation
bin100111110000111…
…010010010000100
31201111022212111212
4213300322102010
52331241224220
6150110550552
722350352226
oct4760722204
91644285455
10667133060
11312640a40
12167508458
13a82a24b9
1464860416
153d87e0c5
hex27c3a484

667133060 has 96 divisors (see below), whose sum is σ = 1572480000. Its totient is φ = 235693440.

The previous prime is 667133041. The next prime is 667133063. The reversal of 667133060 is 60331766.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (667133063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336691 + ... + 1337189.

It is an arithmetic number, because the mean of its divisors is an integer number (16380000).

Almost surely, 2667133060 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 667133060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

667133060 is an abundant number, since it is smaller than the sum of its proper divisors (905346940).

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

667133060 is a wasteful number, since it uses less digits than its factorization.

667133060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 667133060 is about 25828.9190637162. The cubic root of 667133060 is about 873.7841333013.

The spelling of 667133060 in words is "six hundred sixty-seven million, one hundred thirty-three thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 103 110 118 206 220 236 295 412 499 515 590 649 998 1030 1133 1180 1298 1996 2060 2266 2495 2596 3245 4532 4990 5489 5665 6077 6490 9980 10978 11330 12154 12980 21956 22660 24308 27445 29441 30385 51397 54890 58882 60770 66847 102794 109780 117764 121540 133694 147205 205588 256985 267388 294410 323851 334235 513970 565367 588820 647702 668470 1027940 1130734 1295404 1336940 1619255 2261468 2826835 3032423 3238510 5653670 6064846 6477020 11307340 12129692 15162115 30324230 33356653 60648460 66713306 133426612 166783265 333566530 667133060