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99568 = 2472127
BaseRepresentation
bin11000010011110000
312001120201
4120103300
511141233
62044544
7563200
oct302360
9161521
1099568
1168897
1249754
1336421
1428400
151e77d
hex184f0

99568 has 30 divisors (see below), whose sum is σ = 226176. Its totient is φ = 42336.

The previous prime is 99563. The next prime is 99571. The reversal of 99568 is 86599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99563) 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 5 ways as a sum of consecutive naturals, for example, 721 + ... + 847.

299568 is an apocalyptic number.

99568 is a gapful number since it is divisible by the number (98) 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 99568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

99568 is an abundant number, since it is smaller than the sum of its proper divisors (126608).

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

99568 is a wasteful number, since it uses less digits than its factorization.

99568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 99568 is about 315.5439747484. The cubic root of 99568 is about 46.3489529773.

The spelling of 99568 in words is "ninety-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 196 254 392 508 784 889 1016 1778 2032 3556 6223 7112 12446 14224 24892 49784 99568