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81696 = 2532337
BaseRepresentation
bin10011111100100000
311011001210
4103330200
510103241
61430120
7460116
oct237440
9134053
1081696
115641a
123b340
132b254
1421ab6
1519316
hex13f20

81696 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 25344.

The previous prime is 81689. The next prime is 81701. The reversal of 81696 is 69618.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

81696 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 7 ways as a sum of consecutive naturals, for example, 2190 + ... + 2226.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

281696 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 81696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

81696 is an abundant number, since it is smaller than the sum of its proper divisors (148128).

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

81696 is a wasteful number, since it uses less digits than its factorization.

81696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 81696 is about 285.8251213592. The cubic root of 81696 is about 43.3910604734.

It can be divided in two parts, 81 and 696, that added together give a palindrome (777).

The spelling of 81696 in words is "eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 69 74 92 96 111 138 148 184 222 276 296 368 444 552 592 736 851 888 1104 1184 1702 1776 2208 2553 3404 3552 5106 6808 10212 13616 20424 27232 40848 81696