Search a number
-
+
668380806 = 2321729109691
BaseRepresentation
bin100111110101101…
…010111010000110
31201120200021002200
4213311222322012
52332101141211
6150153415330
722364100042
oct4765527206
91646607080
10668380806
11313313435
12167a0a546
13a861b402
1464aa7022
153da28b56
hex27d6ae86

668380806 has 96 divisors (see below), whose sum is σ = 1603087200. Its totient is φ = 200309760.

The previous prime is 668380787. The next prime is 668380837. The reversal of 668380806 is 608083866.

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 47 ways as a sum of consecutive naturals, for example, 966921 + ... + 967611.

It is an arithmetic number, because the mean of its divisors is an integer number (16698825).

Almost surely, 2668380806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668380806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801543600).

668380806 is an abundant number, since it is smaller than the sum of its proper divisors (934706394).

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

668380806 is a wasteful number, since it uses less digits than its factorization.

668380806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 668380806 is about 25853.0618302746. The cubic root of 668380806 is about 874.3285432645.

The spelling of 668380806 in words is "six hundred sixty-eight million, three hundred eighty thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 109 153 174 218 261 306 327 493 522 654 691 981 986 1382 1479 1853 1962 2073 2958 3161 3706 4146 4437 5559 6219 6322 8874 9483 11118 11747 12438 16677 18966 20039 23494 28449 33354 35241 40078 53737 56898 60117 70482 75319 105723 107474 120234 150638 161211 180351 211446 225957 322422 340663 360702 451914 483633 677871 681326 967266 1021989 1280423 1355742 2043978 2184251 2560846 3065967 3841269 4368502 6131934 6552753 7682538 11523807 13105506 19658259 23047614 37132267 39316518 74264534 111396801 222793602 334190403 668380806