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71050 = 2527229
BaseRepresentation
bin10001010110001010
310121110111
4101112022
54233200
61304534
7414100
oct212612
9117414
1071050
1149421
123514a
1326455
141bc70
15160ba
hex1158a

71050 has 36 divisors (see below), whose sum is σ = 159030. Its totient is φ = 23520.

The previous prime is 71039. The next prime is 71059. The reversal of 71050 is 5017.

71050 = T55 + T56 + ... + T83.

It can be written as a sum of positive squares in 3 ways, for example, as 53361 + 17689 = 231^2 + 133^2 .

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 71050.

It is not an unprimeable number, because it can be changed into a prime (71059) by changing a digit.

71050 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 2436 + ... + 2464.

271050 is an apocalyptic number.

71050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71050 is an abundant number, since it is smaller than the sum of its proper divisors (87980).

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 (79515).

71050 is a wasteful number, since it uses less digits than its factorization.

71050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 71050 is about 266.5520587052. The cubic root of 71050 is about 41.4178954428.

Adding to 71050 its reverse (5017), we get a palindrome (76067).

The spelling of 71050 in words is "seventy-one thousand, fifty".

Divisors: 1 2 5 7 10 14 25 29 35 49 50 58 70 98 145 175 203 245 290 350 406 490 725 1015 1225 1421 1450 2030 2450 2842 5075 7105 10150 14210 35525 71050