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21000 = 233537

21000 has 64 divisors (see below), whose sum is σ = 74880. Its totient is φ = 4800.

The previous prime is 20983. The next prime is 21001. The reversal of 21000 is 12.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001) by changing a digit.

21000 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 15 ways as a sum of consecutive naturals, for example, 2997 + ... + 3003.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

221000 is an apocalyptic number.

21000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21000 is the 84-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440).

21000 is an abundant number, since it is smaller than the sum of its proper divisors (53880).

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

21000 is a wasteful number, since it uses less digits than its factorization.

21000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 21000 is about 144.9137674619. The cubic root of 21000 is about 27.5892417638.

Adding to 21000 its reverse (12), we get a palindrome (21012).

The spelling of 21000 in words is "twenty-one thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000