Search a number
-
+
99728 = 2423271
BaseRepresentation
bin11000010110010000
312001210122
4120112100
511142403
62045412
7563516
oct302620
9161718
1099728
1168a22
1249868
1336515
14284b6
151e838
hex18590

99728 has 20 divisors (see below), whose sum is σ = 202368. Its totient is φ = 47520.

The previous prime is 99721. The next prime is 99733. The reversal of 99728 is 82799.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99728.

It is not an unprimeable number, because it can be changed into a prime (99721) by changing a digit.

99728 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, 233 + ... + 503.

299728 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 99728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101184).

99728 is an abundant number, since it is smaller than the sum of its proper divisors (102640).

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

99728 is a wasteful number, since it uses less digits than its factorization.

99728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 99728 is about 315.7974034092. The cubic root of 99728 is about 46.3737663837.

The spelling of 99728 in words is "ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 271 368 542 1084 2168 4336 6233 12466 24932 49864 99728