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83694 = 23132937
BaseRepresentation
bin10100011011101110
311020210210
4110123232
510134234
61443250
7466002
oct243356
9136723
1083694
1157976
1240526
132c130
1422702
1519be9
hex146ee

83694 has 32 divisors (see below), whose sum is σ = 191520. Its totient is φ = 24192.

The previous prime is 83689. The next prime is 83701. The reversal of 83694 is 49638.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

83694 is a Rhonda number in base 9.

It is a plaindrome in base 16.

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 83694.

It is an unprimeable number.

83694 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2244 + ... + 2280.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

283694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

83694 is an abundant number, since it is smaller than the sum of its proper divisors (107826).

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

83694 is a wasteful number, since it uses less digits than its factorization.

83694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its digits is 5184, while the sum is 30.

The square root of 83694 is about 289.2991531270. The cubic root of 83694 is about 43.7419468170.

It can be divided in two parts, 83 and 694, that added together give a palindrome (777).

The spelling of 83694 in words is "eighty-three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 13 26 29 37 39 58 74 78 87 111 174 222 377 481 754 962 1073 1131 1443 2146 2262 2886 3219 6438 13949 27898 41847 83694