Search a number
-
+
20952 = 233397
BaseRepresentation
bin101000111011000
31001202000
411013120
51132302
6241000
7115041
oct50730
931660
1020952
1114818
1210160
1396c9
1478c8
15631c
hex51d8

20952 has 32 divisors (see below), whose sum is σ = 58800. Its totient is φ = 6912.

The previous prime is 20947. The next prime is 20959. The reversal of 20952 is 25902.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20959) 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 7 ways as a sum of consecutive naturals, for example, 168 + ... + 264.

220952 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 20952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29400).

20952 is an abundant number, since it is smaller than the sum of its proper divisors (37848).

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

20952 is a wasteful number, since it uses less digits than its factorization.

20952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20952 is about 144.7480569818. The cubic root of 20952 is about 27.5682053532.

Subtracting 20952 from its reverse (25902), we obtain a triangular number (4950 = T99).

The spelling of 20952 in words is "twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5238 6984 10476 20952