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5306711440 = 2453113715619
BaseRepresentation
bin1001111000100110…
…11111110110010000
3111200211111212120011
410330103133312100
541332004231230
62234325124304
7245335205632
oct47423376620
914624455504
105306711440
112283555938
121041259694
13667569454
14384b00a52
15210d3de2a
hex13c4dfd90

5306711440 has 80 divisors (see below), whose sum is σ = 12829893120. Its totient is φ = 2039086080.

The previous prime is 5306711413. The next prime is 5306711453. The reversal of 5306711440 is 441176035.

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

It is a super-2 number, since 2×53067114402 = 56322372614853747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331951 + ... + 347569.

It is an arithmetic number, because the mean of its divisors is an integer number (160373664).

Almost surely, 25306711440 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 5306711440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414946560).

5306711440 is an abundant number, since it is smaller than the sum of its proper divisors (7523181680).

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

5306711440 is a wasteful number, since it uses less digits than its factorization.

5306711440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15800 (or 15794 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5306711440 is about 72847.1786687721. The cubic root of 5306711440 is about 1744.2490333293.

Adding to 5306711440 its reverse (441176035), we get a palindrome (5747887475).

The spelling of 5306711440 in words is "five billion, three hundred six million, seven hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 137 155 248 274 310 496 548 620 685 1096 1240 1370 2192 2480 2740 4247 5480 8494 10960 15619 16988 21235 31238 33976 42470 62476 67952 78095 84940 124952 156190 169880 249904 312380 339760 484189 624760 968378 1249520 1936756 2139803 2420945 3873512 4279606 4841890 7747024 8559212 9683780 10699015 17118424 19367560 21398030 34236848 38735120 42796060 66333893 85592120 132667786 171184240 265335572 331669465 530671144 663338930 1061342288 1326677860 2653355720 5306711440