Search a number
-
+
666506130 = 235192961661
BaseRepresentation
bin100111101110100…
…001001110010010
31201110011000112020
4213232201032102
52331111144010
6150045312310
722342131363
oct4756411622
91643130466
10666506130
11312252a14
12167265696
13a8113034
1464739b6a
153d7a8470
hex27ba1392

666506130 has 128 divisors (see below), whose sum is σ = 1773100800. Its totient is φ = 159667200.

The previous prime is 666506041. The next prime is 666506189. The reversal of 666506130 is 31605666.

666506130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 666506091 and 666506100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1008000 + ... + 1008660.

It is an arithmetic number, because the mean of its divisors is an integer number (13852350).

Almost surely, 2666506130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666506130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886550400).

666506130 is an abundant number, since it is smaller than the sum of its proper divisors (1106594670).

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

666506130 is a wasteful number, since it uses less digits than its factorization.

666506130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 666506130 is about 25816.7800083589. The cubic root of 666506130 is about 873.5103382591.

The spelling of 666506130 in words is "six hundred sixty-six million, five hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 61 87 95 114 122 145 174 183 190 285 290 305 366 435 551 570 610 661 870 915 1102 1159 1322 1653 1769 1830 1983 2318 2755 3305 3306 3477 3538 3966 5307 5510 5795 6610 6954 8265 8845 9915 10614 11590 12559 16530 17385 17690 19169 19830 25118 26535 33611 34770 37677 38338 40321 53070 57507 62795 67222 75354 80642 95845 100833 115014 120963 125590 168055 188385 191690 201605 201666 241926 287535 336110 364211 376770 403210 504165 575070 604815 728422 766099 1008330 1092633 1169309 1209630 1532198 1821055 2185266 2298297 2338618 3507927 3642110 3830495 4596594 5463165 5846545 7015854 7660990 10926330 11491485 11693090 17539635 22216871 22982970 35079270 44433742 66650613 111084355 133301226 222168710 333253065 666506130