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95706 = 23213409
BaseRepresentation
bin10111010111011010
311212021200
4113113122
511030311
62015030
7546012
oct272732
9155250
1095706
11659a6
1247476
1334740
1426c42
151d556
hex175da

95706 has 24 divisors (see below), whose sum is σ = 223860. Its totient is φ = 29376.

The previous prime is 95701. The next prime is 95707. The reversal of 95706 is 60759.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 225 = 309^2 + 15^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 95706.

It is not an unprimeable number, because it can be changed into a prime (95701) by changing a digit.

95706 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 438.

295706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111930).

95706 is an abundant number, since it is smaller than the sum of its proper divisors (128154).

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

95706 is a wasteful number, since it uses less digits than its factorization.

95706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 95706 is about 309.3638634359. The cubic root of 95706 is about 45.7417794062.

The spelling of 95706 in words is "ninety-five thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 409 818 1227 2454 3681 5317 7362 10634 15951 31902 47853 95706