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5906140128 = 253272439733
BaseRepresentation
bin1011000000000100…
…01000101111100000
3120020121110000010200
411200002020233200
544043432441003
62414021025200
7266234235300
oct54002105740
916217400120
105906140128
112560953549
121189b55200
137317c4c95
14400579600
152487976a3
hex160088be0

5906140128 has 216 divisors, whose sum is σ = 19994142168. Its totient is φ = 1648055808.

The previous prime is 5906140073. The next prime is 5906140157. The reversal of 5906140128 is 8210416095.

5906140128 is a `hidden beast` number, since 590 + 6 + 1 + 40 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5906140092 and 5906140101.

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 35 ways as a sum of consecutive naturals, for example, 601950 + ... + 611682.

It is an arithmetic number, because the mean of its divisors is an integer number (92565473).

Almost surely, 25906140128 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 5906140128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997071084).

5906140128 is an abundant number, since it is smaller than the sum of its proper divisors (14088002040).

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

5906140128 is a wasteful number, since it uses less digits than its factorization.

5906140128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9806 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5906140128 is about 76851.4159140871. The cubic root of 5906140128 is about 1807.5954892936.

The spelling of 5906140128 in words is "five billion, nine hundred six million, one hundred forty thousand, one hundred twenty-eight".