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71080 = 2351777
BaseRepresentation
bin10001010110101000
310121111121
4101112220
54233310
61305024
7414142
oct212650
9117447
1071080
1149449
1235174
1326479
141bc92
15160da
hex115a8

71080 has 16 divisors (see below), whose sum is σ = 160020. Its totient is φ = 28416.

The previous prime is 71069. The next prime is 71081. The reversal of 71080 is 8017.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 324 = 266^2 + 18^2 .

It is not an unprimeable number, because it can be changed into a prime (71081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 849 + ... + 928.

271080 is an apocalyptic number.

It is an amenable number.

71080 is an abundant number, since it is smaller than the sum of its proper divisors (88940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80010).

71080 is a wasteful number, since it uses less digits than its factorization.

71080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 71080 is about 266.6083269517. The cubic root of 71080 is about 41.4237240238.

Adding to 71080 its reverse (8017), we get a palindrome (79097).

The spelling of 71080 in words is "seventy-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 1777 3554 7108 8885 14216 17770 35540 71080