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21042 = 2327167
BaseRepresentation
bin101001000110010
31001212100
411020302
51133132
6241230
7115230
oct51062
931770
1021042
111489a
1210216
139768
147950
15637c
hex5232

21042 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 5976.

The previous prime is 21031. The next prime is 21059. The reversal of 21042 is 24012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

221042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208).

21042 is an abundant number, since it is smaller than the sum of its proper divisors (31374).

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

21042 is a wasteful number, since it uses less digits than its factorization.

21042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 21042 is about 145.0586088448. The cubic root of 21042 is about 27.6076223434.

Adding to 21042 its reverse (24012), we get a palindrome (45054).

It can be divided in two parts, 210 and 42, that added together give a palindrome (252).

The spelling of 21042 in words is "twenty-one thousand, forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 501 1002 1169 1503 2338 3006 3507 7014 10521 21042