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6710130720 = 25345539769
BaseRepresentation
bin1100011111111010…
…00111100000100000
3122022122021221220000
412033331013200200
5102220243140340
63025501220000
7325166112216
oct61775074040
918278257800
106710130720
11293376a587
121373261600
1382c244367
14479262cb6
1529415bd30
hex18ff47820

6710130720 has 240 divisors, whose sum is σ = 24130454040. Its totient is φ = 1755426816.

The previous prime is 6710130689. The next prime is 6710130787. The reversal of 6710130720 is 270310176.

It can be written as a sum of positive squares in 4 ways, for example, as 5547866256 + 1162264464 = 74484^2 + 34092^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 681996 + ... + 691764.

Almost surely, 26710130720 is an apocalyptic number.

6710130720 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 6710130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065227020).

6710130720 is an abundant number, since it is smaller than the sum of its proper divisors (17420323320).

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

6710130720 is a wasteful number, since it uses less digits than its factorization.

6710130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849 (or 9832 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 6710130720 is about 81915.3875654629. The cubic root of 6710130720 is about 1886.1533251640.

Adding to 6710130720 its reverse (270310176), we get a palindrome (6980440896).

The spelling of 6710130720 in words is "six billion, seven hundred ten million, one hundred thirty thousand, seven hundred twenty".