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6639930 = 23251119353
BaseRepresentation
bin11001010101000100111010
3110111100021100
4121111010322
53144434210
6354152230
7110303253
oct31250472
913440240
106639930
113825750
122282676
1314b636b
14c4bb2a
158b25c0
hex65513a

6639930 has 96 divisors (see below), whose sum is σ = 19880640. Its totient is φ = 1520640.

The previous prime is 6639929. The next prime is 6639937. The reversal of 6639930 is 399366.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 62 + 68 + 311 + 92 + 92 + 314 + 0 .

It is not an unprimeable number, because it can be changed into a prime (6639937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18634 + ... + 18986.

It is an arithmetic number, because the mean of its divisors is an integer number (207090).

Almost surely, 26639930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6639930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940320).

6639930 is an abundant number, since it is smaller than the sum of its proper divisors (13240710).

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

6639930 is a wasteful number, since it uses less digits than its factorization.

6639930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 6639930 is about 2576.8061626750. The cubic root of 6639930 is about 187.9552670090.

It can be divided in two parts, 6639 and 930, that added together give a square (7569 = 872).

The spelling of 6639930 in words is "six million, six hundred thirty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 353 418 495 570 627 706 855 990 1045 1059 1254 1710 1765 1881 2090 2118 3135 3177 3530 3762 3883 5295 6270 6354 6707 7766 9405 10590 11649 13414 15885 18810 19415 20121 23298 31770 33535 34947 38830 40242 58245 60363 67070 69894 73777 100605 116490 120726 147554 174735 201210 221331 301815 349470 368885 442662 603630 663993 737770 1106655 1327986 2213310 3319965 6639930