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20130 = 2351161
BaseRepresentation
bin100111010100010
31000121120
410322202
51121010
6233110
7112455
oct47242
930546
1020130
1114140
12b796
139216
14749c
155e70
hex4ea2

20130 has 32 divisors (see below), whose sum is σ = 53568. Its totient is φ = 4800.

The previous prime is 20129. The next prime is 20143. The reversal of 20130 is 3102.

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

It is a plaindrome in base 7.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 300 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

220130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784).

20130 is an abundant number, since it is smaller than the sum of its proper divisors (33438).

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

20130 is a wasteful number, since it uses less digits than its factorization.

20130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

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

The square root of 20130 is about 141.8802311811. The cubic root of 20130 is about 27.2028615790.

Adding to 20130 its reverse (3102), we get a palindrome (23232).

It can be divided in two parts, 201 and 30, that added together give a triangular number (231 = T21).

The spelling of 20130 in words is "twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1830 2013 3355 4026 6710 10065 20130