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201696 = 25311191
BaseRepresentation
bin110001001111100000
3101020200020
4301033200
522423241
64153440
71500015
oct611740
9336606
10201696
111285a0
1298880
1370a61
145370c
153eb66
hex313e0

201696 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 60800.

The previous prime is 201683. The next prime is 201701. The reversal of 201696 is 696102.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

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 201696.

It is an unprimeable number.

201696 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, 961 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2201696 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 201696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

201696 is an abundant number, since it is smaller than the sum of its proper divisors (378912).

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

201696 is a wasteful number, since it uses less digits than its factorization.

201696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201696 is about 449.1057781859. The cubic root of 201696 is about 58.6451941620.

Adding to 201696 its reverse (696102), we get a palindrome (897798).

It can be divided in two parts, 2016 and 96, that added together give a palindrome (2112).

The spelling of 201696 in words is "two hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 191 264 352 382 528 573 764 1056 1146 1528 2101 2292 3056 4202 4584 6112 6303 8404 9168 12606 16808 18336 25212 33616 50424 67232 100848 201696