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85712 = 2411487
BaseRepresentation
bin10100111011010000
311100120112
4110323100
510220322
61500452
7504614
oct247320
9140515
1085712
1159440
1241728
1330023
1423344
151a5e2
hex14ed0

85712 has 20 divisors (see below), whose sum is σ = 181536. Its totient is φ = 38880.

The previous prime is 85711. The next prime is 85717. The reversal of 85712 is 21758.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85712.

It is not an unprimeable number, because it can be changed into a prime (85711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 419.

285712 is an apocalyptic number.

It is an amenable number.

85712 is an abundant number, since it is smaller than the sum of its proper divisors (95824).

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 (90768).

85712 is a wasteful number, since it uses less digits than its factorization.

85712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 85712 is about 292.7661182582. The cubic root of 85712 is about 44.0907219063.

It can be divided in two parts, 85 and 712, that added together give a palindrome (797).

The spelling of 85712 in words is "eighty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 487 974 1948 3896 5357 7792 10714 21428 42856 85712