Search a number
6140 = 225307
BaseRepresentation
bin1011111111100
322102102
41133330
5144030
644232
723621
oct13774
98372
106140
114682
123678
132a44
142348
151c45
hex17fc

6140 has 12 divisors (see below), whose sum is σ = 12936. Its totient is φ = 2448.

The previous prime is 6133. The next prime is 6143. The reversal of 6140 is 416.

Subtracting from 6140 its product of nonzero digits (24), we obtain a palindrome (6116).

Adding to 6140 its reverse (416), we get a palindrome (6556).

It can be divided in two parts, 61 and 40, that added together give a palindrome (101).

It is a plaindrome in base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6143) by changing a digit.

6140 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 3 ways as a sum of consecutive naturals, for example, 134 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1078).

It is an amenable number.

6140 is an abundant number, since it is smaller than the sum of its proper divisors (6796).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468).

6140 is a wasteful number, since it uses less digits than its factorization.

6140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6140 is about 78.3581520966. The cubic root of 6140 is about 18.3114523157.

The spelling of 6140 in words is "six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 307 614 1228 1535 3070 6140