Search a number
-
+
6740252200 = 23521112012551
BaseRepresentation
bin1100100011100000…
…00001011000101000
3122101201222021210101
412101300001120220
5102301001032300
63032454555144
7326013125023
oct62160013050
918351867711
106740252200
112949773270
121381368ab4
1383555c716
1447d2641ba
15296b0bb6a
hex191c01628

6740252200 has 96 divisors (see below), whose sum is σ = 17116672320. Its totient is φ = 2448000000.

The previous prime is 6740252171. The next prime is 6740252203. The reversal of 6740252200 is 22520476.

It is not an unprimeable number, because it can be changed into a prime (6740252203) 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 23 ways as a sum of consecutive naturals, for example, 2640925 + ... + 2643475.

It is an arithmetic number, because the mean of its divisors is an integer number (178298670).

Almost surely, 26740252200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6740252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558336160).

6740252200 is an abundant number, since it is smaller than the sum of its proper divisors (10376420120).

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

6740252200 is a wasteful number, since it uses less digits than its factorization.

6740252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 6740252200 is about 82099.0389712328. The cubic root of 6740252200 is about 1888.9713989076.

Adding to 6740252200 its reverse (22520476), we get a palindrome (6762772676).

The spelling of 6740252200 in words is "six billion, seven hundred forty million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1201 2200 2402 2551 4804 5102 6005 9608 10204 12010 12755 13211 20408 24020 25510 26422 28061 30025 48040 51020 52844 56122 60050 63775 66055 102040 105688 112244 120100 127550 132110 140305 224488 240200 255100 264220 280610 330275 510200 528440 561220 660550 701525 1122440 1321100 1403050 2642200 2806100 3063751 5612200 6127502 12255004 15318755 24510008 30637510 33701261 61275020 67402522 76593775 122550040 134805044 153187550 168506305 269610088 306375100 337012610 612750200 674025220 842531525 1348050440 1685063050 3370126100 6740252200