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20555200 = 265229443
BaseRepresentation
bin100111001101…
…0010111000000
31102200022102201
41032122113000
520230231300
62012322544
7336500461
oct116322700
942608381
1020555200
111066a476
126a73454
134349053
142a30d68
151c1066a
hex139a5c0

20555200 has 84 divisors (see below), whose sum is σ = 52440840. Its totient is φ = 7920640.

The previous prime is 20555191. The next prime is 20555203. The reversal of 20555200 is 255502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20555203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46179 + ... + 46621.

Almost surely, 220555200 is an apocalyptic number.

20555200 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 20555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26220420).

20555200 is an abundant number, since it is smaller than the sum of its proper divisors (31885640).

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

20555200 is a wasteful number, since it uses less digits than its factorization.

20555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 20555200 is about 4533.7842912957. The cubic root of 20555200 is about 273.9306127246.

The spelling of 20555200 in words is "twenty million, five hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 443 464 580 725 800 886 928 1160 1450 1600 1772 1856 2215 2320 2900 3544 4430 4640 5800 7088 8860 9280 11075 11600 12847 14176 17720 22150 23200 25694 28352 35440 44300 46400 51388 64235 70880 88600 102776 128470 141760 177200 205552 256940 321175 354400 411104 513880 642350 708800 822208 1027760 1284700 2055520 2569400 4111040 5138800 10277600 20555200