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20430208 = 27193827
BaseRepresentation
bin100110111101…
…1110110000000
31102102221222101
41031323312000
520212231313
62005520144
7335440201
oct115736600
942387871
1020430208
1110594577
126a13054
1343041a6
1429db5a8
151bd85dd
hex137bd80

20430208 has 32 divisors (see below), whose sum is σ = 40961160. Its totient is φ = 10149888.

The previous prime is 20430191. The next prime is 20430251. The reversal of 20430208 is 80203402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 24291 + ... + 25117.

Almost surely, 220430208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480580).

20430208 is an abundant number, since it is smaller than the sum of its proper divisors (20530952).

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

20430208 is an equidigital number, since it uses as much as digits as its factorization.

20430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1022 counting only the distinct ones).

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

The square root of 20430208 is about 4519.9787610120. The cubic root of 20430208 is about 273.3742446529.

The spelling of 20430208 in words is "twenty million, four hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 827 1544 1654 3088 3308 6176 6616 12352 13232 24704 26464 52928 105856 159611 319222 638444 1276888 2553776 5107552 10215104 20430208