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99984 = 2432083
BaseRepresentation
bin11000011010010000
312002011010
4120122100
511144414
62050520
7564333
oct303220
9162133
1099984
1169135
1249a40
1336681
142861a
151e959
hex18690

99984 has 20 divisors (see below), whose sum is σ = 258416. Its totient is φ = 33312.

The previous prime is 99971. The next prime is 99989. The reversal of 99984 is 48999.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99989) by changing a digit.

99984 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, 994 + ... + 1089.

299984 is an apocalyptic number.

It is an amenable number.

99984 is an abundant number, since it is smaller than the sum of its proper divisors (158432).

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 (129208).

99984 is a wasteful number, since it uses less digits than its factorization.

99984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2088 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 99984 is about 316.2024667835. The cubic root of 99984 is about 46.4134126900.

The spelling of 99984 in words is "ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2083 4166 6249 8332 12498 16664 24996 33328 49992 99984