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71140 = 2253557
BaseRepresentation
bin10001010111100100
310121120211
4101113210
54234030
61305204
7414256
oct212744
9117524
1071140
11494a3
1235204
13264c4
141bcd6
151612a
hex115e4

71140 has 12 divisors (see below), whose sum is σ = 149436. Its totient is φ = 28448.

The previous prime is 71129. The next prime is 71143. The reversal of 71140 is 4117.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 54756 = 128^2 + 234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71140.

It is not an unprimeable number, because it can be changed into a prime (71143) by changing a digit.

71140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1759 + ... + 1798.

It is an arithmetic number, because the mean of its divisors is an integer number (12453).

271140 is an apocalyptic number.

It is an amenable number.

71140 is an abundant number, since it is smaller than the sum of its proper divisors (78296).

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 (74718).

71140 is a wasteful number, since it uses less digits than its factorization.

71140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 71140 is about 266.7208278331. The cubic root of 71140 is about 41.4353762674.

Adding to 71140 its reverse (4117), we get a palindrome (75257).

The spelling of 71140 in words is "seventy-one thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 3557 7114 14228 17785 35570 71140