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20727 = 327247
BaseRepresentation
bin101000011110111
31001102200
411003313
51130402
6235543
7114300
oct50367
931380
1020727
1114633
12bbb3
139585
1477a7
15621c
hex50f7

20727 has 18 divisors (see below), whose sum is σ = 35568. Its totient is φ = 11592.

The previous prime is 20719. The next prime is 20731. The reversal of 20727 is 72702.

It is not a de Polignac number, because 20727 - 23 = 20719 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20727.

It is not an unprimeable number, because it can be changed into a prime (20707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 418 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (1976).

220727 is an apocalyptic number.

20727 is a deficient number, since it is larger than the sum of its proper divisors (14841).

20727 is a wasteful number, since it uses less digits than its factorization.

20727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 20727 is about 143.9687466084. The cubic root of 20727 is about 27.4691665439.

It can be divided in two parts, 20 and 727, that added together give a palindrome (747).

The spelling of 20727 in words is "twenty thousand, seven hundred twenty-seven", and thus it is an iban number.

Divisors: 1 3 7 9 21 47 49 63 141 147 329 423 441 987 2303 2961 6909 20727