Search a number
-
+
20648325 = 3523183107
BaseRepresentation
bin100111011000…
…1000110000101
31102212001011210
41032301012011
520241221300
62014322033
7340336125
oct116610605
942761153
1020648325
1110723435
126ab9319
13437c559
142a56c85
151c2d050
hex13b1185

20648325 has 48 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 10430400.

The previous prime is 20648321. The next prime is 20648333. The reversal of 20648325 is 52384602.

It is not a de Polignac number, because 20648325 - 22 = 20648321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20648292 and 20648301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20648321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192922 + ... + 193028.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 220648325 is an apocalyptic number.

20648325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20648325 is a deficient number, since it is larger than the sum of its proper divisors (15349371).

20648325 is a wasteful number, since it uses less digits than its factorization.

20648325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20648325 is about 4544.0428034956. The cubic root of 20648325 is about 274.3436689681.

The spelling of 20648325 in words is "twenty million, six hundred forty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 83 93 107 155 249 321 415 465 535 775 1245 1605 2075 2325 2573 2675 3317 6225 7719 8025 8881 9951 12865 16585 26643 38595 44405 49755 64325 82925 133215 192975 222025 248775 275311 666075 825933 1376555 4129665 6882775 20648325