Search a number
-
+
20658825 = 32521117491
BaseRepresentation
bin100111011001…
…1101010001001
31102212120120200
41032303222021
520242040300
62014442413
7340411545
oct116635211
942776520
1020658825
1110730310
126b03409
134384275
142a5aa25
151c31200
hex13b3a89

20658825 has 72 divisors (see below), whose sum is σ = 42827616. Its totient is φ = 9408000.

The previous prime is 20658821. The next prime is 20658851. The reversal of 20658825 is 52885602.

It is not a de Polignac number, because 20658825 - 22 = 20658821 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20658825.

It is not an unprimeable number, because it can be changed into a prime (20658821) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 41830 + ... + 42320.

It is an arithmetic number, because the mean of its divisors is an integer number (594828).

Almost surely, 220658825 is an apocalyptic number.

20658825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20658825 is an abundant number, since it is smaller than the sum of its proper divisors (22168791).

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

20658825 is a wasteful number, since it uses less digits than its factorization.

20658825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 20658825 is about 4545.1980154884. The cubic root of 20658825 is about 274.3901637868.

The spelling of 20658825 in words is "twenty million, six hundred fifty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 491 495 561 765 825 935 1275 1473 1683 2455 2475 2805 3825 4419 4675 5401 7365 8347 8415 12275 14025 16203 22095 25041 27005 36825 41735 42075 48609 75123 81015 91817 110475 125205 135025 208675 243045 275451 375615 405075 459085 626025 826353 1215225 1377255 1878075 2295425 4131765 6886275 20658825