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99900 = 22335237
BaseRepresentation
bin11000011000111100
312002001000
4120120330
511144100
62050300
7564153
oct303074
9162030
1099900
1169069
1249990
1336618
142859a
151e900
hex1863c

99900 has 72 divisors (see below), whose sum is σ = 329840. Its totient is φ = 25920.

The previous prime is 99881. The next prime is 99901. The reversal of 99900 is 999.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 2 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99901) by changing a digit.

99900 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 23 ways as a sum of consecutive naturals, for example, 2682 + ... + 2718.

299900 is an apocalyptic number.

99900 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 99900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164920).

99900 is an abundant number, since it is smaller than the sum of its proper divisors (229940).

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

99900 is a wasteful number, since it uses less digits than its factorization.

99900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 99900 is about 316.0696125856. The cubic root of 99900 is about 46.4004112132.

Multiplying 99900 by its reverse (999), we get a square (99800100 = 99902).

99900 divided by its reverse (999) gives a square (100 = 102).

It can be divided in two parts, 99 and 900, that added together give a palindrome (999).

The spelling of 99900 in words is "ninety-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1998 2220 2700 2775 3330 3700 3996 4995 5550 6660 8325 9990 11100 16650 19980 24975 33300 49950 99900