Search a number
-
+
20635625 = 54137241
BaseRepresentation
bin100111010110…
…1111111101001
31102211101202102
41032231333221
520240320000
62014143145
7340254113
oct116557751
942741672
1020635625
111071493a
126ab1ab5
13437683a
142a523b3
151c293d5
hex13adfe9

20635625 has 20 divisors (see below), whose sum is σ = 26082276. Its totient is φ = 16320000.

The previous prime is 20635597. The next prime is 20635627. The reversal of 20635625 is 52653602.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 12524521 + 8111104 = 3539^2 + 2848^2 .

It is not a de Polignac number, because 20635625 - 26 = 20635561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20635627) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 85505 + ... + 85745.

Almost surely, 220635625 is an apocalyptic number.

20635625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20635625 is a deficient number, since it is larger than the sum of its proper divisors (5446651).

20635625 is an equidigital number, since it uses as much as digits as its factorization.

20635625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 20635625 is about 4542.6451545328. The cubic root of 20635625 is about 274.2874113109.

The spelling of 20635625 in words is "twenty million, six hundred thirty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 137 241 625 685 1205 3425 6025 17125 30125 33017 85625 150625 165085 825425 4127125 20635625