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20944 = 2471117
BaseRepresentation
bin101000111010000
31001201201
411013100
51132234
6240544
7115030
oct50720
931651
1020944
1114810
1210154
1396c1
1478c0
156314
hex51d0

20944 has 40 divisors (see below), whose sum is σ = 53568. Its totient is φ = 7680.

The previous prime is 20939. The next prime is 20947. The reversal of 20944 is 44902.

It is a super-2 number, since 2×209442 = 877302272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1224 + ... + 1240.

220944 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 20944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784).

20944 is an abundant number, since it is smaller than the sum of its proper divisors (32624).

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

20944 is a wasteful number, since it uses less digits than its factorization.

20944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20944 is about 144.7204201210. The cubic root of 20944 is about 27.5646961621.

It can be divided in two parts, 209 and 44, that added together give a triangular number (253 = T22).

The spelling of 20944 in words is "twenty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 20944