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71052 = 22331191
BaseRepresentation
bin10001010110001100
310121110120
4101112030
54233202
61304540
7414102
oct212614
9117416
1071052
1149423
1235150
1326457
141bc72
15160bc
hex1158c

71052 has 24 divisors (see below), whose sum is σ = 172032. Its totient is φ = 22800.

The previous prime is 71039. The next prime is 71059. The reversal of 71052 is 25017.

It is a happy number.

It is a plaindrome in base 16.

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

71052 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 7 ways as a sum of consecutive naturals, for example, 277 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (7168).

271052 is an apocalyptic number.

It is an amenable number.

71052 is an abundant number, since it is smaller than the sum of its proper divisors (100980).

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 (86016).

71052 is a wasteful number, since it uses less digits than its factorization.

71052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 71052 is about 266.5558102912. Note that the first 3 decimals coincide. The cubic root of 71052 is about 41.4182840659.

Adding to 71052 its reverse (25017), we get a palindrome (96069).

The spelling of 71052 in words is "seventy-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 191 372 382 573 764 1146 2292 5921 11842 17763 23684 35526 71052