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6066040320 = 293351931149
BaseRepresentation
bin1011010011001000…
…00110111000000000
3120122202022202222000
411221210012320000
544410401242240
62441532144000
7303215330514
oct55144067000
916582282860
106066040320
11263313796a
121213608000
1375897c192
144178c0144
15257830430
hex169906e00

6066040320 has 640 divisors, whose sum is σ = 23569920000. Its totient is φ = 1473085440.

The previous prime is 6066040271. The next prime is 6066040363. The reversal of 6066040320 is 230406606.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40711606 + ... + 40711754.

It is an arithmetic number, because the mean of its divisors is an integer number (36828000).

Almost surely, 26066040320 is an apocalyptic number.

6066040320 is a gapful number since it is divisible by the number (60) 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 6066040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960000).

6066040320 is an abundant number, since it is smaller than the sum of its proper divisors (17503879680).

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

6066040320 is a wasteful number, since it uses less digits than its factorization.

6066040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6066040320 is about 77884.7887587814. The cubic root of 6066040320 is about 1823.7631271347.

Adding to 6066040320 its reverse (230406606), we get a palindrome (6296446926).

The spelling of 6066040320 in words is "six billion, sixty-six million, forty thousand, three hundred twenty".