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99966 = 2316661
BaseRepresentation
bin11000011001111110
312002010110
4120121332
511144331
62050450
7564306
oct303176
9162113
1099966
1169119
1249a26
1336669
1428606
151e946
hex1867e

99966 has 8 divisors (see below), whose sum is σ = 199944. Its totient is φ = 33320.

The previous prime is 99961. The next prime is 99971. The reversal of 99966 is 66999.

It is an interprime number because it is at equal distance from previous prime (99961) and next prime (99971).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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 99966.

It is not an unprimeable number, because it can be changed into a prime (99961) by changing a digit.

99966 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 3 ways as a sum of consecutive naturals, for example, 8325 + ... + 8336.

It is an arithmetic number, because the mean of its divisors is an integer number (24993).

299966 is an apocalyptic number.

99966 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99972).

99966 is a wasteful number, since it uses less digits than its factorization.

99966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666.

The product of its digits is 26244, while the sum is 39.

The square root of 99966 is about 316.1740027263. The cubic root of 99966 is about 46.4106272725.

The spelling of 99966 in words is "ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 16661 33322 49983 99966