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20176 = 241397
BaseRepresentation
bin100111011010000
31000200021
410323100
51121201
6233224
7112552
oct47320
930607
1020176
1114182
12b814
139250
1474d2
155ea1
hex4ed0

20176 has 20 divisors (see below), whose sum is σ = 42532. Its totient is φ = 9216.

The previous prime is 20173. The next prime is 20177. The reversal of 20176 is 67102.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 14400 = 76^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160 + ... + 256.

220176 is an apocalyptic number.

20176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21266).

20176 is an abundant number, since it is smaller than the sum of its proper divisors (22356).

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

20176 is a wasteful number, since it uses less digits than its factorization.

20176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 20176 is about 142.0422472365. The cubic root of 20176 is about 27.2235666573.

Adding to 20176 its reverse (67102), we get a palindrome (87278).

It can be divided in two parts, 20 and 176, that added together give a square (196 = 142).

The spelling of 20176 in words is "twenty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 5044 10088 20176