Search a number
-
+
8120087328 = 25385439901
BaseRepresentation
bin1111000111111111…
…01011001100100000
3202221220101011202010
413203333223030200
5113112220243303
63421425352520
7405136413663
oct74377531440
922856334663
108120087328
113497639881
1216a7498740
139c539aa02
145706076da
15327d1bc03
hex1e3feb320

8120087328 has 48 divisors (see below), whose sum is σ = 21319877376. Its totient is φ = 2706105600.

The previous prime is 8120087321. The next prime is 8120087359. The reversal of 8120087328 is 8237800218.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8120087321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815178 + ... + 825078.

It is an arithmetic number, because the mean of its divisors is an integer number (444164112).

Almost surely, 28120087328 is an apocalyptic number.

It is an amenable number.

8120087328 is an abundant number, since it is smaller than the sum of its proper divisors (13199790048).

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

8120087328 is a wasteful number, since it uses less digits than its factorization.

8120087328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18457 (or 18449 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 8120087328 is about 90111.5271649527. The cubic root of 8120087328 is about 2009.9576179772.

The spelling of 8120087328 in words is "eight billion, one hundred twenty million, eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8543 9901 17086 19802 25629 29703 34172 39604 51258 59406 68344 79208 102516 118812 136688 158416 205032 237624 273376 316832 410064 475248 820128 950496 84584243 169168486 253752729 338336972 507505458 676673944 1015010916 1353347888 2030021832 2706695776 4060043664 8120087328