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668416770 = 232571922939
BaseRepresentation
bin100111110101110…
…011101100000010
31201120202002102200
4213311303230002
52332103314040
6150154254030
722364306640
oct4765635402
91646662380
10668416770
1131333845a
12167a27316
13a86318a8
1464ab6190
153da34630
hex27d73b02

668416770 has 144 divisors (see below), whose sum is σ = 2096902080. Its totient is φ = 144690624.

The previous prime is 668416769. The next prime is 668416783. The reversal of 668416770 is 77614866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225961 + ... + 228899.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 2668416770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668416770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048451040).

668416770 is an abundant number, since it is smaller than the sum of its proper divisors (1428485310).

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

668416770 is a wasteful number, since it uses less digits than its factorization.

668416770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 668416770 is about 25853.7573671604. The cubic root of 668416770 is about 874.3442248378.

The spelling of 668416770 in words is "six hundred sixty-eight million, four hundred sixteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 361 399 570 630 665 722 798 855 1083 1197 1330 1710 1805 1995 2166 2394 2527 2939 3249 3610 3990 5054 5415 5878 5985 6498 7581 8817 10830 11970 12635 14695 15162 16245 17634 20573 22743 25270 26451 29390 32490 37905 41146 44085 45486 52902 55841 61719 75810 88170 102865 111682 113715 123438 132255 167523 185157 205730 227430 264510 279205 308595 335046 370314 390887 502569 558410 617190 781774 837615 925785 1005138 1060979 1172661 1675230 1851570 1954435 2121958 2345322 2512845 3182937 3517983 3908870 5025690 5304895 5863305 6365874 7035966 7426853 9548811 10609790 11726610 14853706 15914685 17589915 19097622 22280559 31829370 35179830 37134265 44561118 47744055 66841677 74268530 95488110 111402795 133683354 222805590 334208385 668416770