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6659940 = 22357101157
BaseRepresentation
bin11001011001111101100100
3110112100201110
4121121331210
53201104230
6354425020
7110415510
oct31317544
913470643
106659940
113839791
122292170
1314c24c1
14c55140
158b84b0
hex659f64

6659940 has 96 divisors (see below), whose sum is σ = 21659904. Its totient is φ = 1497600.

The previous prime is 6659929. The next prime is 6659941. The reversal of 6659940 is 499566.

It is not an unprimeable number, because it can be changed into a prime (6659941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42342 + ... + 42498.

It is an arithmetic number, because the mean of its divisors is an integer number (225624).

Almost surely, 26659940 is an apocalyptic number.

6659940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6659940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829952).

6659940 is an abundant number, since it is smaller than the sum of its proper divisors (14999964).

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

6659940 is a wasteful number, since it uses less digits than its factorization.

6659940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 6659940 is about 2580.6859553227. The cubic root of 6659940 is about 188.1438841174.

It can be divided in two parts, 66 and 59940, that added together give a palindrome (60006).

The spelling of 6659940 in words is "six million, six hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 157 202 210 303 314 404 420 471 505 606 628 707 785 942 1010 1099 1212 1414 1515 1570 1884 2020 2121 2198 2355 2828 3030 3140 3297 3535 4242 4396 4710 5495 6060 6594 7070 8484 9420 10605 10990 13188 14140 15857 16485 21210 21980 31714 32970 42420 47571 63428 65940 79285 95142 110999 158570 190284 221998 237855 317140 332997 443996 475710 554995 665994 951420 1109990 1331988 1664985 2219980 3329970 6659940