Search a number
-
+
668406606 = 237671731373
BaseRepresentation
bin100111110101110…
…001001101001110
31201120201120111020
4213311301031032
52332103002411
6150154135010
722364235210
oct4765611516
91646646436
10668406606
1131333085a
12167a21466
13a862a08a
1464ab25b0
153da31606
hex27d7134e

668406606 has 64 divisors (see below), whose sum is σ = 1560688128. Its totient is φ = 186899328.

The previous prime is 668406581. The next prime is 668406617. The reversal of 668406606 is 606604866.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 486136 + ... + 487508.

It is an arithmetic number, because the mean of its divisors is an integer number (24385752).

Almost surely, 2668406606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668406606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780344064).

668406606 is an abundant number, since it is smaller than the sum of its proper divisors (892281522).

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

668406606 is a wasteful number, since it uses less digits than its factorization.

668406606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625.

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 668406606 is about 25853.5607992400. The cubic root of 668406606 is about 874.3397930321.

The spelling of 668406606 in words is "six hundred sixty-eight million, four hundred six thousand, six hundred six".

Divisors: 1 2 3 6 7 14 21 42 67 134 173 201 346 402 469 519 938 1038 1211 1373 1407 2422 2746 2814 3633 4119 7266 8238 9611 11591 19222 23182 28833 34773 57666 69546 81137 91991 162274 183982 237529 243411 275973 475058 486822 551946 643937 712587 1287874 1425174 1662703 1931811 3325406 3863622 4988109 9976218 15914443 31828886 47743329 95486658 111401101 222802202 334203303 668406606