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5306301000 = 233253711131931
BaseRepresentation
bin1001111000100011…
…11011101001001000
3111200210202000112200
410330101323221020
541331403113000
62234312240200
7245331546210
oct47421735110
914623660480
105306301000
1122832a5530
1210410a0060
136674546a0
14384a35240
15210cac500
hex13c47ba48

5306301000 has 1536 divisors, whose sum is σ = 26166067200. Its totient is φ = 933120000.

The previous prime is 5306300999. The next prime is 5306301023. The reversal of 5306301000 is 1036035.

5306301000 is a `hidden beast` number, since 5 + 30 + 630 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 171170985 + ... + 171171015.

It is an arithmetic number, because the mean of its divisors is an integer number (17035200).

Almost surely, 25306301000 is an apocalyptic number.

5306301000 is a gapful number since it is divisible by the number (50) 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 5306301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083033600).

5306301000 is an abundant number, since it is smaller than the sum of its proper divisors (20859766200).

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

5306301000 is a wasteful number, since it uses less digits than its factorization.

5306301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 5306301000 is about 72844.3614839199. The cubic root of 5306301000 is about 1744.2040633550.

Adding to 5306301000 its reverse (1036035), we get a palindrome (5307337035).

The spelling of 5306301000 in words is "five billion, three hundred six million, three hundred one thousand".