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6180 = 2235103
BaseRepresentation
bin1100000100100
322110220
41200210
5144210
644340
724006
oct14044
98426
106180
114709
1236b0
132a75
142376
151c70
hex1824

6180 has 24 divisors (see below), whose sum is σ = 17472. Its totient is φ = 1632.

The previous prime is 6173. The next prime is 6197. The reversal of 6180 is 816.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

6180 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 7 ways as a sum of consecutive naturals, for example, 9 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (728).

26180 is an apocalyptic number.

6180 is a gapful number since it is divisible by the number (60) 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 6180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736).

6180 is an abundant number, since it is smaller than the sum of its proper divisors (11292).

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

6180 is a wasteful number, since it uses less digits than its factorization.

6180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 6180 is about 78.6129760281. The cubic root of 6180 is about 18.3511305597.

Adding to 6180 its reverse (816), we get a palindrome (6996).

It can be divided in two parts, 61 and 80, that added together give a palindrome (141).

The spelling of 6180 in words is "six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180