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20286900 = 22325222541
BaseRepresentation
bin100110101100…
…0110110110100
31102011200101200
41031120312310
520143140100
62002452500
7334302324
oct115306664
942150350
1020286900
11104a6937
126964130
134283baa
1429a1284
151baae00
hex1358db4

20286900 has 54 divisors (see below), whose sum is σ = 63590982. Its totient is φ = 5409600.

The previous prime is 20286887. The next prime is 20286907. The reversal of 20286900 is 968202.

It can be written as a sum of positive squares in 3 ways, for example, as 3196944 + 17089956 = 1788^2 + 4134^2 .

It is a super-2 number, since 2×202869002 = 823116623220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20286907) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 10371 + ... + 12170.

Almost surely, 220286900 is an apocalyptic number.

20286900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20286900 is an abundant number, since it is smaller than the sum of its proper divisors (43304082).

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

20286900 is a wasteful number, since it uses less digits than its factorization.

20286900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22561 (or 22551 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20286900 is about 4504.0981339220. The cubic root of 20286900 is about 272.7335483404.

The spelling of 20286900 in words is "twenty million, two hundred eighty-six 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 22541 45082 67623 90164 112705 135246 202869 225410 270492 338115 405738 450820 563525 676230 811476 1014345 1127050 1352460 1690575 2028690 2254100 3381150 4057380 5071725 6762300 10143450 20286900