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20348200 = 2352101741
BaseRepresentation
bin100110110011…
…1110100101000
31102021210111001
41031213310220
520202120300
62004044344
7334646125
oct115476450
942253431
1020348200
11105389a4
1269936b4
1342a5a72
1429b974c
151bbe16a
hex1367d28

20348200 has 24 divisors (see below), whose sum is σ = 47310030. Its totient is φ = 8139200.

The previous prime is 20348191. The next prime is 20348219. The reversal of 20348200 is 284302.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7717284 + 12630916 = 2778^2 + 3554^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50671 + ... + 51070.

Almost surely, 220348200 is an apocalyptic number.

20348200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20348200 is an abundant number, since it is smaller than the sum of its proper divisors (26961830).

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

20348200 is a wasteful number, since it uses less digits than its factorization.

20348200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101757 (or 101748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20348200 is about 4510.8979150497. The cubic root of 20348200 is about 273.0079742915.

The spelling of 20348200 in words is "twenty million, three hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 101741 203482 406964 508705 813928 1017410 2034820 2543525 4069640 5087050 10174100 20348200