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20005425 = 32521159137
BaseRepresentation
bin100110001010…
…0001000110001
31101122101021200
41030110020301
520110133200
61552441413
7332020566
oct114241061
941571250
1020005425
1110324410
126849269
1341b5a3b
14292a86d
151b52800
hex1314231

20005425 has 72 divisors (see below), whose sum is σ = 40042080. Its totient is φ = 9465600.

The previous prime is 20005397. The next prime is 20005429. The reversal of 20005425 is 52450002.

It is not a de Polignac number, because 20005425 - 25 = 20005393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20005398 and 20005407.

It is not an unprimeable number, because it can be changed into a prime (20005429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145957 + ... + 146093.

It is an arithmetic number, because the mean of its divisors is an integer number (556140).

Almost surely, 220005425 is an apocalyptic number.

20005425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20005425 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

20005425 is a wasteful number, since it uses less digits than its factorization.

20005425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20005425 is about 4472.7424473135. The cubic root of 20005425 is about 271.4663023000.

Adding to 20005425 its reverse (52450002), we get a palindrome (72455427).

The spelling of 20005425 in words is "twenty million, five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 59 75 99 137 165 177 225 275 295 411 495 531 649 685 825 885 1233 1475 1507 1947 2055 2475 2655 3245 3425 4425 4521 5841 6165 7535 8083 9735 10275 13275 13563 16225 22605 24249 29205 30825 37675 40415 48675 67815 72747 88913 113025 121245 146025 202075 266739 339075 363735 444565 606225 800217 1333695 1818675 2222825 4001085 6668475 20005425