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20189800 = 235229592
BaseRepresentation
bin100110100000…
…1001001101000
31101222202012101
41031001021220
520132033200
62000423144
7333416251
oct115011150
941882171
1020189800
111043a994
126917ab4
13424b937
142977b28
151b8c26a
hex1341268

20189800 has 72 divisors (see below), whose sum is σ = 49396950. Its totient is φ = 7665280.

The previous prime is 20189797. The next prime is 20189821. The reversal of 20189800 is 898102.

20189800 = T96 + T97 + ... + T495.

It can be written as a sum of positive squares in 3 ways, for example, as 15163236 + 5026564 = 3894^2 + 2242^2 .

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, 342171 + ... + 342229.

Almost surely, 220189800 is an apocalyptic number.

20189800 is a gapful number since it is divisible by the number (20) 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 20189800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698475).

20189800 is an abundant number, since it is smaller than the sum of its proper divisors (29207150).

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

20189800 is a wasteful number, since it uses less digits than its factorization.

20189800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 20189800 is about 4493.3061324597. The cubic root of 20189800 is about 272.2977204326.

The spelling of 20189800 in words is "twenty million, one hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 59 100 116 118 145 200 232 236 290 295 472 580 590 725 1160 1180 1450 1475 1711 2360 2900 2950 3422 3481 5800 5900 6844 6962 8555 11800 13688 13924 17110 17405 27848 34220 34810 42775 68440 69620 85550 87025 100949 139240 171100 174050 201898 342200 348100 403796 504745 696200 807592 1009490 2018980 2523725 4037960 5047450 10094900 20189800