Search a number
BaseRepresentation
bin1100000111100
322111210
41200330
5144304
644420
724042
oct14074
98453
106204
114730
123710
132a93
142392
151c89
hex183c

6204 has 24 divisors (see below), whose sum is σ = 16128. Its totient is φ = 1840.

The previous prime is 6203. The next prime is 6211. The reversal of 6204 is 4026.

6204 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

26204 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 6204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

6204 is an abundant number, since it is smaller than the sum of its proper divisors (9924).

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

6204 is a wasteful number, since it uses less digits than its factorization.

6204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6204 is about 78.7654746701. The cubic root of 6204 is about 18.3748553832.

Adding to 6204 its sum of digits (12), we get a triangular number (6216 = T111).

Multiplying 6204 by its product of nonzero digits (48), we get a palindrome (297792).

It can be divided in two parts, 6 and 204, that added together give a triangular number (210 = T20).

The spelling of 6204 in words is "six thousand, two hundred four".