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99000 = 23325311
BaseRepresentation
bin11000001010111000
312000210200
4120022320
511132000
62042200
7561426
oct301270
9160720
1099000
1168420
1249360
13360a5
1428116
151e500
hex182b8

99000 has 96 divisors (see below), whose sum is σ = 365040. Its totient is φ = 24000.

The previous prime is 98999. The next prime is 99013. The reversal of 99000 is 99.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8995 + ... + 9005.

299000 is an apocalyptic number.

99000 is a gapful number since it is divisible by the number (90) 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 99000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182520).

99000 is an abundant number, since it is smaller than the sum of its proper divisors (266040).

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

99000 is a wasteful number, since it uses less digits than its factorization.

99000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 99000 is about 314.6426544510. The cubic root of 99000 is about 46.2606500918.

Adding to 99000 its reverse (99), we get a palindrome (99099).

99000 divided by its reverse (99) gives a cube (1000 = 103).

It can be divided in two parts, 9 and 9000, that added together give a palindrome (9009).

The spelling of 99000 in words is "ninety-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 125 132 150 165 180 198 200 220 225 250 264 275 300 330 360 375 396 440 450 495 500 550 600 660 750 792 825 900 990 1000 1100 1125 1320 1375 1500 1650 1800 1980 2200 2250 2475 2750 3000 3300 3960 4125 4500 4950 5500 6600 8250 9000 9900 11000 12375 16500 19800 24750 33000 49500 99000