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5301240020 = 2252915758217
BaseRepresentation
bin1001110111111101…
…01000000011010100
3111200110012220011222
410323332220003110
541324104140040
62234011545512
7245240540156
oct47376500324
914613186158
105301240020
1122804590aa
12103b45b298
136663a1c1b
143840b8ad6
1521060cbb5
hex13bfa80d4

5301240020 has 48 divisors (see below), whose sum is σ = 11590039440. Its totient is φ = 2034299904.

The previous prime is 5301240013. The next prime is 5301240089. The reversal of 5301240020 is 200421035.

It can be written as a sum of positive squares in 8 ways, for example, as 45859984 + 5255380036 = 6772^2 + 72494^2 .

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 15 ways as a sum of consecutive naturals, for example, 61952 + ... + 120168.

It is an arithmetic number, because the mean of its divisors is an integer number (241459155).

Almost surely, 25301240020 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 5301240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795019720).

5301240020 is an abundant number, since it is smaller than the sum of its proper divisors (6288799420).

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

5301240020 is a wasteful number, since it uses less digits than its factorization.

5301240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58412 (or 58410 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5301240020 is about 72809.6148870463. The cubic root of 5301240020 is about 1743.6493649695.

Adding to 5301240020 its reverse (200421035), we get a palindrome (5501661055).

The spelling of 5301240020 in words is "five billion, three hundred one million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 157 290 314 580 628 785 1570 3140 4553 9106 18212 22765 45530 58217 91060 116434 232868 291085 582170 1164340 1688293 3376586 6753172 8441465 9140069 16882930 18280138 33765860 36560276 45700345 91400690 182801380 265062001 530124002 1060248004 1325310005 2650620010 5301240020