Search a number
-
+
20729925 = 345229353
BaseRepresentation
bin100111100010…
…1000001000101
31110000012010000
41033011001011
520301324200
62020151513
7341126046
oct117050105
943005100
1020729925
1110779777
126b38599
1343aa738
142a788cd
151c47300
hex13c5045

20729925 has 60 divisors (see below), whose sum is σ = 39835620. Its totient is φ = 10644480.

The previous prime is 20729909. The next prime is 20729927. The reversal of 20729925 is 52992702.

It can be written as a sum of positive squares in 6 ways, for example, as 641601 + 20088324 = 801^2 + 4482^2 .

It is not a de Polignac number, because 20729925 - 24 = 20729909 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 20729925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20729927) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58549 + ... + 58901.

It is an arithmetic number, because the mean of its divisors is an integer number (663927).

Almost surely, 220729925 is an apocalyptic number.

20729925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20729925 is a deficient number, since it is larger than the sum of its proper divisors (19105695).

20729925 is a wasteful number, since it uses less digits than its factorization.

20729925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20729925 is about 4553.0127388357. The cubic root of 20729925 is about 274.7045863523.

The spelling of 20729925 in words is "twenty million, seven hundred twenty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 353 405 435 675 725 783 1059 1305 1765 2025 2175 2349 3177 3915 5295 6525 8825 9531 10237 11745 15885 19575 26475 28593 30711 47655 51185 58725 79425 92133 142965 153555 238275 255925 276399 460665 714825 767775 829197 1381995 2303325 4145985 6909975 20729925