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1998900 = 2232522221
BaseRepresentation
bin111101000000000110100
310202112222100
413220000310
51002431100
6110502100
722663461
oct7500064
93675870
101998900
111145892
12804930
1354caa7
143a0668
15297400
hex1e8034

1998900 has 54 divisors (see below), whose sum is σ = 6268262. Its totient is φ = 532800.

The previous prime is 1998881. The next prime is 1998917. The reversal of 1998900 is 98991.

It can be written as a sum of positive squares in 3 ways, for example, as 224676 + 1774224 = 474^2 + 1332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211 + ... + 2010.

21998900 is an apocalyptic number.

1998900 is a gapful number since it is divisible by the number (10) 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 1998900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134131).

1998900 is an abundant number, since it is smaller than the sum of its proper divisors (4269362).

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

1998900 is a wasteful number, since it uses less digits than its factorization.

1998900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1998900 is about 1413.8246001538. The cubic root of 1998900 is about 125.9690022009.

The spelling of 1998900 in words is "one million, nine hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2221 4442 6663 8884 11105 13326 19989 22210 26652 33315 39978 44420 55525 66630 79956 99945 111050 133260 166575 199890 222100 333150 399780 499725 666300 999450 1998900