Search a number
-
+
6805180 = 2254143193
BaseRepresentation
bin11001111101011010111100
3110210201221201
4121331122330
53220231210
6401505244
7111562114
oct31753274
913721851
106805180
113928918
122342224
131543645
14c92044
158e653a
hex67d6bc

6805180 has 48 divisors (see below), whose sum is σ = 15057504. Its totient is φ = 2580480.

The previous prime is 6805163. The next prime is 6805181. The reversal of 6805180 is 815086.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35164 + ... + 35356.

It is an arithmetic number, because the mean of its divisors is an integer number (313698).

Almost surely, 26805180 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 6805180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528752).

6805180 is an abundant number, since it is smaller than the sum of its proper divisors (8252324).

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

6805180 is a wasteful number, since it uses less digits than its factorization.

6805180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 6805180 is about 2608.6739926637. The cubic root of 6805180 is about 189.5017415944.

The spelling of 6805180 in words is "six million, eight hundred five thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 193 205 215 386 410 430 772 820 860 965 1763 1930 3526 3860 7052 7913 8299 8815 15826 16598 17630 31652 33196 35260 39565 41495 79130 82990 158260 165980 340259 680518 1361036 1701295 3402590 6805180