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21672 = 2332743
BaseRepresentation
bin101010010101000
31002201200
411102220
51143142
6244200
7120120
oct52250
932650
1021672
1115312
1210660
139b31
147c80
15664c
hex54a8

21672 has 48 divisors (see below), whose sum is σ = 68640. Its totient is φ = 6048.

The previous prime is 21661. The next prime is 21673. The reversal of 21672 is 27612.

Adding to 21672 its reverse (27612), we get a square (49284 = 2222).

It can be divided in two parts, 2167 and 2, that multiplied together give a palindrome (4334).

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21673) by changing a digit.

21672 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 11 ways as a sum of consecutive naturals, for example, 483 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (1430).

221672 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 21672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320).

21672 is an abundant number, since it is smaller than the sum of its proper divisors (46968).

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

21672 is a wasteful number, since it uses less digits than its factorization.

21672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 21672 is about 147.2141297566. The cubic root of 21672 is about 27.8804426086.

The spelling of 21672 in words is "twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21672