Search a number
-
+
8108064 = 253247599
BaseRepresentation
bin11110111011100000100000
3120020221011200
4132323200200
54033424224
6445441200
7125626446
oct36734040
916227150
108108064
114638788
122870200
1318ab693
141110b96
15aa25c9
hex7bb820

8108064 has 72 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2640768.

The previous prime is 8108047. The next prime is 8108083. The reversal of 8108064 is 4608018.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 13237 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 28108064 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 8108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

8108064 is an abundant number, since it is smaller than the sum of its proper divisors (15479136).

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

8108064 is a wasteful number, since it uses less digits than its factorization.

8108064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8108064 is about 2847.4662421177. The cubic root of 8108064 is about 200.8965086896.

The spelling of 8108064 in words is "eight million, one hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 599 752 846 1128 1198 1504 1692 1797 2256 2396 3384 3594 4512 4792 5391 6768 7188 9584 10782 13536 14376 19168 21564 28153 28752 43128 56306 57504 84459 86256 112612 168918 172512 225224 253377 337836 450448 506754 675672 900896 1013508 1351344 2027016 2702688 4054032 8108064