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20430420 = 22351632089
BaseRepresentation
bin100110111101…
…1111001010100
31102102222021020
41031323321110
520212233140
62005521140
7335440623
oct115737124
942388236
1020430420
111059474a
126a131b0
13430430a
1429db6ba
151bd86d0
hex137be54

20430420 has 48 divisors (see below), whose sum is σ = 57583680. Its totient is φ = 5412096.

The previous prime is 20430409. The next prime is 20430439. The reversal of 20430420 is 2403402.

It is a happy number.

It is a super-2 number, since 2×204304202 = 834804122752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20430420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8736 + ... + 10824.

It is an arithmetic number, because the mean of its divisors is an integer number (1199660).

Almost surely, 220430420 is an apocalyptic number.

20430420 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 20430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28791840).

20430420 is an abundant number, since it is smaller than the sum of its proper divisors (37153260).

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

20430420 is a wasteful number, since it uses less digits than its factorization.

20430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20430420 is about 4520.0022123888. The cubic root of 20430420 is about 273.3751902321.

Adding to 20430420 its reverse (2403402), we get a palindrome (22833822).

The spelling of 20430420 in words is "twenty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2089 2445 3260 4178 4890 6267 8356 9780 10445 12534 20890 25068 31335 41780 62670 125340 340507 681014 1021521 1362028 1702535 2043042 3405070 4086084 5107605 6810140 10215210 20430420