Search a number
-
+
8069384300 = 2252437126431
BaseRepresentation
bin1111000001111100…
…10000100001101100
3202211100222012021012
413200332100201230
5113011230244200
63412414524352
7403652430515
oct74076204154
922740865235
108069384300
113470a5894a
1216925066b8
139b7a27613
145679a9a0c
15323653a35
hex1e0f9086c

8069384300 has 72 divisors (see below), whose sum is σ = 18170836992. Its totient is φ = 3108168000.

The previous prime is 8069384179. The next prime is 8069384327. The reversal of 8069384300 is 34839608.

It is a super-2 number, since 2×80693843002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292085 + ... + 318515.

It is an arithmetic number, because the mean of its divisors is an integer number (252372736).

Almost surely, 28069384300 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 8069384300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085418496).

8069384300 is an abundant number, since it is smaller than the sum of its proper divisors (10101452692).

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

8069384300 is a wasteful number, since it uses less digits than its factorization.

8069384300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26559 (or 26552 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 8069384300 is about 89829.7517529688. The cubic root of 8069384300 is about 2005.7653891738.

The spelling of 8069384300 in words is "eight billion, sixty-nine million, three hundred eighty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 71 86 100 142 172 215 284 355 430 710 860 1075 1420 1775 2150 3053 3550 4300 6106 7100 12212 15265 26431 30530 52862 61060 76325 105724 132155 152650 264310 305300 528620 660775 1136533 1321550 1876601 2273066 2643100 3753202 4546132 5682665 7506404 9383005 11365330 18766010 22730660 28413325 37532020 46915025 56826650 80693843 93830050 113653300 161387686 187660100 322775372 403469215 806938430 1613876860 2017346075 4034692150 8069384300