Search a number
-
+
6640200 = 23325271731
BaseRepresentation
bin11001010101001001001000
3110111100122100
4121111021020
53144441300
6354153400
7110304120
oct31251110
913440570
106640200
113825976
122282860
1314b6518
14c4bc80
158b2700
hex655248

6640200 has 288 divisors, whose sum is σ = 27855360. Its totient is φ = 1382400.

The previous prime is 6640181. The next prime is 6640213. The reversal of 6640200 is 20466.

6640200 is a `hidden beast` number, since 6 + 640 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 214185 + ... + 214215.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 26640200 is an apocalyptic number.

6640200 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 6640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

6640200 is an abundant number, since it is smaller than the sum of its proper divisors (21215160).

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

6640200 is a wasteful number, since it uses less digits than its factorization.

6640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6640200 is about 2576.8585525791. The cubic root of 6640200 is about 187.9578145878.

Adding to 6640200 its reverse (20466), we get a palindrome (6660666).

The spelling of 6640200 in words is "six million, six hundred forty thousand, two hundred".