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99636 = 22319223
BaseRepresentation
bin11000010100110100
312001200020
4120110310
511142021
62045140
7563325
oct302464
9161606
1099636
1168949
12497b0
1336474
142844c
151e7c6
hex18534

99636 has 36 divisors (see below), whose sum is σ = 256032. Its totient is φ = 30096.

The previous prime is 99623. The next prime is 99643. The reversal of 99636 is 63699.

It is a junction number, because it is equal to n+sod(n) for n = 99597 and 99606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4321 + ... + 4343.

It is an arithmetic number, because the mean of its divisors is an integer number (7112).

299636 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 99636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016).

99636 is an abundant number, since it is smaller than the sum of its proper divisors (156396).

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

99636 is a wasteful number, since it uses less digits than its factorization.

99636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 99636 is about 315.6517067909. The cubic root of 99636 is about 46.3595019207.

Subtracting from 99636 its reverse (63699), we obtain a cube (35937 = 333).

The spelling of 99636 in words is "ninety-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 361 437 722 874 1083 1311 1444 1748 2166 2622 4332 5244 8303 16606 24909 33212 49818 99636