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71016 = 23311269
BaseRepresentation
bin10001010101101000
310121102020
4101111220
54233031
61304440
7414021
oct212550
9117366
1071016
11493a0
1235120
132642a
141bc48
1516096
hex11568

71016 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 21440.

The previous prime is 71011. The next prime is 71023. The reversal of 71016 is 61017.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 70986 and 71004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71011) by changing a digit.

71016 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, 130 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

271016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

71016 is an abundant number, since it is smaller than the sum of its proper divisors (123384).

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

71016 is a wasteful number, since it uses less digits than its factorization.

71016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 71016 is about 266.4882736632. The cubic root of 71016 is about 41.4112877340.

Subtracting from 71016 its reverse (61017), we obtain a palindrome (9999).

The spelling of 71016 in words is "seventy-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 269 538 807 1076 1614 2152 2959 3228 5918 6456 8877 11836 17754 23672 35508 71016