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6740134640 = 245477922691
BaseRepresentation
bin1100100011011111…
…00100101011110000
3122101201202022112022
412101233210223300
5102300433302030
63032452251012
7326012125211
oct62157445360
918351668468
106740134640
1129496a2a08
121381310a68
1383551b065
1447d233408
15296ad6de5
hex191be4af0

6740134640 has 80 divisors (see below), whose sum is σ = 16207534080. Its totient is φ = 2605175040.

The previous prime is 6740134601. The next prime is 6740134649. The reversal of 6740134640 is 464310476.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6740134640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740134649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285695 + ... + 308385.

It is an arithmetic number, because the mean of its divisors is an integer number (202594176).

Almost surely, 26740134640 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 6740134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103767040).

6740134640 is an abundant number, since it is smaller than the sum of its proper divisors (9467399440).

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

6740134640 is a wasteful number, since it uses less digits than its factorization.

6740134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22830 (or 22824 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 6740134640 is about 82098.3230035791. The cubic root of 6740134640 is about 1888.9604166890.

The spelling of 6740134640 in words is "six billion, seven hundred forty million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 79 80 94 158 188 235 316 376 395 470 632 752 790 940 1264 1580 1880 3160 3713 3760 6320 7426 14852 18565 22691 29704 37130 45382 59408 74260 90764 113455 148520 181528 226910 297040 363056 453820 907640 1066477 1792589 1815280 2132954 3585178 4265908 5332385 7170356 8531816 8962945 10664770 14340712 17063632 17925890 21329540 28681424 35851780 42659080 71703560 84251683 85318160 143407120 168503366 337006732 421258415 674013464 842516830 1348026928 1685033660 3370067320 6740134640