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99300 = 22352331
BaseRepresentation
bin11000001111100100
312001012210
4120033210
511134200
62043420
7562335
oct301744
9161183
1099300
1168673
1249570
1336276
142828c
151e650
hex183e4

99300 has 36 divisors (see below), whose sum is σ = 288176. Its totient is φ = 26400.

The previous prime is 99289. The next prime is 99317. The reversal of 99300 is 399.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99300.

It is an unprimeable number.

99300 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 11 ways as a sum of consecutive naturals, for example, 135 + ... + 465.

299300 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 99300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144088).

99300 is an abundant number, since it is smaller than the sum of its proper divisors (188876).

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

99300 is a wasteful number, since it uses less digits than its factorization.

99300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 99300 is about 315.1190251318. The cubic root of 99300 is about 46.3073309006.

Adding to 99300 its reverse (399), we get a palindrome (99699).

The spelling of 99300 in words is "ninety-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 331 662 993 1324 1655 1986 3310 3972 4965 6620 8275 9930 16550 19860 24825 33100 49650 99300