Search a number
-
+
671086080 = 2933571973
BaseRepresentation
bin100111111111111…
…111011000000000
31201202202201001000
4213333333120000
52333244223310
6150331412000
722426065120
oct4777773000
91652681030
10671086080
113148a09a5
121688b4000
13a9057872
14651acc80
153ddb04c0
hex27fff600

671086080 has 640 divisors, whose sum is σ = 2906956800. Its totient is φ = 143327232.

The previous prime is 671086043. The next prime is 671086121. The reversal of 671086080 is 80680176.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192924 + ... + 9192996.

It is an arithmetic number, because the mean of its divisors is an integer number (4542120).

Almost surely, 2671086080 is an apocalyptic number.

671086080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453478400).

671086080 is an abundant number, since it is smaller than the sum of its proper divisors (2235870720).

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

671086080 is a wasteful number, since it uses less digits than its factorization.

671086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 671086080 is about 25905.3291814638. The cubic root of 671086080 is about 875.5065714315.

The spelling of 671086080 in words is "six hundred seventy-one million, eighty-six thousand, eighty".