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20413420 = 22523199223
BaseRepresentation
bin100110111011…
…1101111101100
31102102002221121
41031313233230
520211212140
62005310324
7335340226
oct115675754
942362847
1020413420
11105829a5
126a053a4
1342c9661
1429d5416
151bd364a
hex1377bec

20413420 has 48 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 7736256.

The previous prime is 20413409. The next prime is 20413441. The reversal of 20413420 is 2431402.

It is a junction number, because it is equal to n+sod(n) for n = 20413394 and 20413403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91429 + ... + 91651.

It is an arithmetic number, because the mean of its divisors is an integer number (940800).

Almost surely, 220413420 is an apocalyptic number.

20413420 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 20413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

20413420 is an abundant number, since it is smaller than the sum of its proper divisors (24744980).

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

20413420 is a wasteful number, since it uses less digits than its factorization.

20413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20413420 is about 4518.1212909792. The cubic root of 20413420 is about 273.2993447062.

Adding to 20413420 its reverse (2431402), we get a palindrome (22844822).

The spelling of 20413420 in words is "twenty million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 199 223 230 398 446 460 796 892 995 1115 1990 2230 3980 4460 4577 5129 9154 10258 18308 20516 22885 25645 44377 45770 51290 88754 91540 102580 177508 221885 443770 887540 1020671 2041342 4082684 5103355 10206710 20413420