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5706432000 = 2932539907
BaseRepresentation
bin1010101000010000…
…10011111000000000
3112201200122210002100
411110020103320000
543141321311000
62342124350400
7261260604663
oct52410237000
915650583070
105706432000
11246914a905
1211330a5400
136cc3107a9
143c1c316da
15235e99a00
hex154213e00

5706432000 has 240 divisors, whose sum is σ = 20555572752. Its totient is φ = 1521561600.

The previous prime is 5706431989. The next prime is 5706432049. The reversal of 5706432000 is 2346075.

It is a happy number.

5706432000 is a `hidden beast` number, since 570 + 64 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571047 + ... + 580953.

Almost surely, 25706432000 is an apocalyptic number.

5706432000 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 5706432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277786376).

5706432000 is an abundant number, since it is smaller than the sum of its proper divisors (14849140752).

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

5706432000 is an equidigital number, since it uses as much as digits as its factorization.

5706432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5706432000 is about 75540.9293032592. The cubic root of 5706432000 is about 1786.9876406580.

Adding to 5706432000 its reverse (2346075), we get a palindrome (5708778075).

The spelling of 5706432000 in words is "five billion, seven hundred six million, four hundred thirty-two thousand".