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5301370580 = 2251125341333
BaseRepresentation
bin1001110111111110…
…00111111011010100
3111200110110112021112
410323333013323110
541324122324310
62234014434152
7245241622622
oct47377077324
914613415245
105301370580
112280538200
12103b502958
1366641948c
14384110512
15210636705
hex13bfc7ed4

5301370580 has 72 divisors (see below), whose sum is σ = 12468153096. Its totient is φ = 1891352320.

The previous prime is 5301370577. The next prime is 5301370583. The reversal of 5301370580 is 850731035.

It is an interprime number because it is at equal distance from previous prime (5301370577) and next prime (5301370583).

It can be written as a sum of positive squares in 4 ways, for example, as 2281208644 + 3020161936 = 47762^2 + 54956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301370583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107594 + ... + 148926.

It is an arithmetic number, because the mean of its divisors is an integer number (173168793).

Almost surely, 25301370580 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 5301370580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234076548).

5301370580 is an abundant number, since it is smaller than the sum of its proper divisors (7166782516).

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

5301370580 is a wasteful number, since it uses less digits than its factorization.

5301370580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41417 (or 41404 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 5301370580 is about 72810.5114664085. The cubic root of 5301370580 is about 1743.6636791671.

The spelling of 5301370580 in words is "five billion, three hundred one million, three hundred seventy thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 121 212 220 242 265 484 530 583 605 1060 1166 1210 2332 2420 2915 5830 6413 11660 12826 25652 32065 41333 64130 82666 128260 165332 206665 413330 454663 826660 909326 1818652 2190649 2273315 4381298 4546630 5001293 8762596 9093260 10002586 10953245 20005172 21906490 24097139 25006465 43812980 48194278 50012930 96388556 100025860 120485695 240971390 265068529 481942780 530137058 1060274116 1325342645 2650685290 5301370580