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99684 = 22331371
BaseRepresentation
bin11000010101100100
312001202000
4120111210
511142214
62045300
7563424
oct302544
9161660
1099684
1168992
1249830
13364b0
1428484
151e809
hex18564

99684 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 30240.

The previous prime is 99679. The next prime is 99689. The reversal of 99684 is 48699.

It is an interprime number because it is at equal distance from previous prime (99679) and next prime (99689).

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

It is not an unprimeable number, because it can be changed into a prime (99689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1369 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

299684 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 99684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

99684 is an abundant number, since it is smaller than the sum of its proper divisors (182556).

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

99684 is a wasteful number, since it uses less digits than its factorization.

99684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 99684 is about 315.7277308061. The cubic root of 99684 is about 46.3669453442.

The spelling of 99684 in words is "ninety-nine thousand, six hundred eighty-four".