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20352 = 27353
BaseRepresentation
bin100111110000000
31000220210
410332000
51122402
6234120
7113223
oct47600
930823
1020352
1114322
12b940
139357
1475ba
15606c
hex4f80

20352 has 32 divisors (see below), whose sum is σ = 55080. Its totient is φ = 6656.

The previous prime is 20347. The next prime is 20353. The reversal of 20352 is 25302.

Adding to 20352 its reverse (25302), we get a palindrome (45654).

Subtracting 20352 from its reverse (25302), we obtain a triangular number (4950 = T99).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a d-powerful number, because it can be written as 25 + 0 + 39 + 53 + 29 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20353) by changing a digit.

20352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358 + ... + 410.

220352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540).

20352 is an abundant number, since it is smaller than the sum of its proper divisors (34728).

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

20352 is an equidigital number, since it uses as much as digits as its factorization.

20352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 20352 is about 142.6604360010. The cubic root of 20352 is about 27.3024967862.

The spelling of 20352 in words is "twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352