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99984096 = 2532347167
BaseRepresentation
bin1011111010110…
…10001011100000
320222010201101200
411331122023200
5201043442341
613531001200
72322564552
oct575321340
9228121350
1099984096
1151490593
1229599200
13179394b4
14d3c94d2
158b9edb6
hex5f5a2e0

99984096 has 36 divisors (see below), whose sum is σ = 284330592. Its totient is φ = 33327936.

The previous prime is 99984091. The next prime is 99984097. The reversal of 99984096 is 69048999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99984091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173296 + ... + 173871.

It is an arithmetic number, because the mean of its divisors is an integer number (7898072).

Almost surely, 299984096 is an apocalyptic number.

99984096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99984096 is an abundant number, since it is smaller than the sum of its proper divisors (184346496).

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

99984096 is a wasteful number, since it uses less digits than its factorization.

99984096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347183 (or 347172 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 99984096 is about 9999.2047683803. The cubic root of 99984096 is about 464.1342754471.

The spelling of 99984096 in words is "ninety-nine million, nine hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 347167 694334 1041501 1388668 2083002 2777336 3124503 4166004 5554672 6249006 8332008 11109344 12498012 16664016 24996024 33328032 49992048 99984096