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20430300 = 223521141151
BaseRepresentation
bin100110111101…
…1110111011100
31102102222002210
41031323313130
520212232200
62005520420
7335440362
oct115736734
942388083
1020430300
1110594650
126a13110
134304247
1429db632
151bd8650
hex137bddc

20430300 has 144 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 4800000.

The previous prime is 20430251. The next prime is 20430307. The reversal of 20430300 is 303402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135225 + ... + 135375.

It is an arithmetic number, because the mean of its divisors is an integer number (461776).

Almost surely, 220430300 is an apocalyptic number.

20430300 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 20430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

20430300 is an abundant number, since it is smaller than the sum of its proper divisors (46065444).

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

20430300 is a wasteful number, since it uses less digits than its factorization.

20430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20430300 is about 4519.9889380396. The cubic root of 20430300 is about 273.3746549994.

Adding to 20430300 its reverse (303402), we get a palindrome (20733702).

The spelling of 20430300 in words is "twenty million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 151 164 165 205 220 246 275 300 302 330 410 451 453 492 550 604 615 660 755 820 825 902 906 1025 1100 1230 1353 1510 1650 1661 1804 1812 2050 2255 2265 2460 2706 3020 3075 3300 3322 3775 4100 4510 4530 4983 5412 6150 6191 6644 6765 7550 8305 9020 9060 9966 11275 11325 12300 12382 13530 15100 16610 18573 19932 22550 22650 24764 24915 27060 30955 33220 33825 37146 41525 45100 45300 49830 61910 67650 68101 74292 83050 92865 99660 123820 124575 135300 136202 154775 166100 185730 204303 249150 272404 309550 340505 371460 408606 464325 498300 619100 681010 817212 928650 1021515 1362020 1702525 1857300 2043030 3405050 4086060 5107575 6810100 10215150 20430300