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99912 = 23323181
BaseRepresentation
bin11000011001001000
312002001110
4120121020
511144122
62050320
7564201
oct303110
9162043
1099912
116907a
12499a0
1336627
14285a8
151e90c
hex18648

99912 has 32 divisors (see below), whose sum is σ = 262080. Its totient is φ = 31680.

The previous prime is 99907. The next prime is 99923. The reversal of 99912 is 21999.

It is a self number, because there is not a number n which added to its sum of digits gives 99912.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

299912 is an apocalyptic number.

99912 is a gapful number since it is divisible by the number (92) 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 99912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

99912 is an abundant number, since it is smaller than the sum of its proper divisors (162168).

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

99912 is a wasteful number, since it uses less digits than its factorization.

99912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 1458, while the sum is 30.

The square root of 99912 is about 316.0885951755. The cubic root of 99912 is about 46.4022690131.

The spelling of 99912 in words is "ninety-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 181 184 276 362 543 552 724 1086 1448 2172 4163 4344 8326 12489 16652 24978 33304 49956 99912