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20132 = 227719
BaseRepresentation
bin100111010100100
31000121122
410322210
51121012
6233112
7112460
oct47244
930548
1020132
1114142
12b798
139218
1474a0
155e72
hex4ea4

20132 has 12 divisors (see below), whose sum is σ = 40320. Its totient is φ = 8616.

The previous prime is 20129. The next prime is 20143. The reversal of 20132 is 23102.

Adding to 20132 its reverse (23102), we get a palindrome (43234).

20132 is an admirable number.

It is an unprimeable number.

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, 332 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

220132 is an apocalyptic number.

It is an amenable number.

20132 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

20132 is a wasteful number, since it uses less digits than its factorization.

20132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 20132 is about 141.8872792043. The cubic root of 20132 is about 27.2037624553.

The spelling of 20132 in words is "twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 719 1438 2876 5033 10066 20132