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99936 = 2532347
BaseRepresentation
bin11000011001100000
312002002100
4120121200
511144221
62050400
7564234
oct303140
9162070
1099936
11690a1
1249a00
1336645
14285c4
151e926
hex18660

99936 has 36 divisors (see below), whose sum is σ = 285012. Its totient is φ = 33216.

The previous prime is 99929. The next prime is 99961. The reversal of 99936 is 63999.

Subtracting from 99936 its reverse (63999), we obtain a cube (35937 = 333).

It can be divided in two parts, 9993 and 6, that added together give a palindrome (9999).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 99936.

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 99936.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (7917).

299936 is an apocalyptic number.

99936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142506).

99936 is an abundant number, since it is smaller than the sum of its proper divisors (185076).

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

99936 is a wasteful number, since it uses less digits than its factorization.

99936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 99936 is about 316.1265569357. The cubic root of 99936 is about 46.4059841668.

The spelling of 99936 in words is "ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 347 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 11104 12492 16656 24984 33312 49968 99936