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5790000320 = 265134183409
BaseRepresentation
bin1010110010001110…
…00110010011000000
3112221111220111021022
411121013012103000
543324220002240
62354311445012
7263324122256
oct53107062300
915844814238
105790000320
112501338a35
121157086768
137137200c0
143ccd865d6
1523d4a59b5
hex1591c64c0

5790000320 has 224 divisors, whose sum is σ = 15431048640. Its totient is φ = 2055536640.

The previous prime is 5790000311. The next prime is 5790000367. The reversal of 5790000320 is 230000975.

It is a super-3 number, since 3×57900003203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5790000320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14156276 + ... + 14156684.

It is an arithmetic number, because the mean of its divisors is an integer number (68888610).

Almost surely, 25790000320 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 5790000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715524320).

5790000320 is an abundant number, since it is smaller than the sum of its proper divisors (9641048320).

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

5790000320 is a wasteful number, since it uses less digits than its factorization.

With its successor (5790000321) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (563).

5790000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 5790000320 is about 76092.0516217036. The cubic root of 5790000320 is about 1795.6686309845.

The spelling of 5790000320 in words is "five billion, seven hundred ninety million, three hundred twenty", and thus it is an aban number.