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21300 = 2235271
BaseRepresentation
bin101001100110100
31002012220
411030310
51140200
6242340
7116046
oct51464
932186
1021300
1115004
12103b0
139906
147a96
1564a0
hex5334

21300 has 36 divisors (see below), whose sum is σ = 62496. Its totient is φ = 5600.

The previous prime is 21283. The next prime is 21313. The reversal of 21300 is 312.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

21300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 265 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

221300 is an apocalyptic number.

21300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

21300 is an abundant number, since it is smaller than the sum of its proper divisors (41196).

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

21300 is a wasteful number, since it uses less digits than its factorization.

21300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 21300 is about 145.9451951933. The cubic root of 21300 is about 27.7199984175.

Adding to 21300 its reverse (312), we get a palindrome (21612).

The spelling of 21300 in words is "twenty-one thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300