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20430000 = 243254227
BaseRepresentation
bin100110111101…
…1110010110000
31102102221200200
41031323302300
520212230000
62005515200
7335436453
oct115736260
942387620
1020430000
11105943a8
126a12b00
134304076
1429db49a
151bd8500
hex137bcb0

20430000 has 150 divisors (see below), whose sum is σ = 71761404. Its totient is φ = 5424000.

The previous prime is 20429993. The next prime is 20430029. The reversal of 20430000 is 3402.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89887 + ... + 90113.

Almost surely, 220430000 is an apocalyptic number.

20430000 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 20430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35880702).

20430000 is an abundant number, since it is smaller than the sum of its proper divisors (51331404).

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

20430000 is a wasteful number, since it uses less digits than its factorization.

20430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20430000 is about 4519.9557519958. The cubic root of 20430000 is about 273.3733169085.

Adding to 20430000 its reverse (3402), we get a palindrome (20433402).

The spelling of 20430000 in words is "twenty million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 227 240 250 300 360 375 400 450 454 500 600 625 681 720 750 900 908 1000 1125 1135 1200 1250 1362 1500 1800 1816 1875 2000 2043 2250 2270 2500 2724 3000 3405 3600 3632 3750 4086 4500 4540 5000 5448 5625 5675 6000 6810 7500 8172 9000 9080 10000 10215 10896 11250 11350 13620 15000 16344 17025 18000 18160 20430 22500 22700 27240 28375 30000 32688 34050 40860 45000 45400 51075 54480 56750 68100 81720 85125 90000 90800 102150 113500 136200 141875 163440 170250 204300 227000 255375 272400 283750 340500 408600 425625 454000 510750 567500 681000 817200 851250 1021500 1135000 1276875 1362000 1702500 2043000 2270000 2553750 3405000 4086000 5107500 6810000 10215000 20430000