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20727135 = 32511133221
BaseRepresentation
bin100111100010…
…0010101011111
31110000001021200
41033010111133
520301232020
62020130543
7341114652
oct117042537
943001250
1020727135
1110777670
126b36a53
1343a93a0
142a77899
151c46590
hex13c455f

20727135 has 48 divisors (see below), whose sum is σ = 42221088. Its totient is φ = 9273600.

The previous prime is 20727103. The next prime is 20727137. The reversal of 20727135 is 53172702.

It is not a de Polignac number, because 20727135 - 25 = 20727103 is a prime.

It is a super-2 number, since 2×207271352 = 859228250616450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20727099 and 20727108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20727137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4825 + ... + 8045.

It is an arithmetic number, because the mean of its divisors is an integer number (879606).

Almost surely, 220727135 is an apocalyptic number.

20727135 is an abundant number, since it is smaller than the sum of its proper divisors (21493953).

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

20727135 is a wasteful number, since it uses less digits than its factorization.

20727135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 20727135 is about 4552.7063379928. The cubic root of 20727135 is about 274.6922618153.

Adding to 20727135 its reverse (53172702), we get a palindrome (73899837).

The spelling of 20727135 in words is "twenty million, seven hundred twenty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 3221 6435 9663 16105 28989 35431 41873 48315 106293 125619 144945 177155 209365 318879 376857 460603 531465 628095 1381809 1594395 1884285 2303015 4145427 6909045 20727135