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5300743680 = 293558521
BaseRepresentation
bin1001110111111001…
…01110111000000000
3111200102021200100000
410323330232320000
541323442244210
62233553200000
7245233402131
oct47374567000
914612250300
105300743680
11228014a201
12103b260000
1366625a02b
14383dc9c88
15210560ac0
hex13bf2ee00

5300743680 has 240 divisors, whose sum is σ = 19040125104. Its totient is φ = 1413365760.

The previous prime is 5300743639. The next prime is 5300743703. The reversal of 5300743680 is 863470035.

It is a happy number.

5300743680 is a `hidden beast` number, since 530 + 0 + 7 + 43 + 6 + 80 = 666.

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

It is a super-3 number, since 3×53007436803 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 617820 + ... + 626340.

Almost surely, 25300743680 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 5300743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520062552).

5300743680 is an abundant number, since it is smaller than the sum of its proper divisors (13739381424).

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

5300743680 is an frugal number, since it uses more digits than its factorization.

5300743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5300743680 is about 72806.2063288563. The cubic root of 5300743680 is about 1743.5949456302.

The spelling of 5300743680 in words is "five billion, three hundred million, seven hundred forty-three thousand, six hundred eighty".