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6040 = 235151
BaseRepresentation
bin1011110011000
322021201
41132120
5143130
643544
723416
oct13630
98251
106040
1145a1
1235b4
132998
1422b6
151bca
hex1798

6040 has 16 divisors (see below), whose sum is σ = 13680. Its totient is φ = 2400.

The previous prime is 6037. The next prime is 6043. The reversal of 6040 is 406.

It is an interprime number because it is at equal distance from previous prime (6037) and next prime (6043).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 36 + ... + 115.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

It is an amenable number.

6040 is an abundant number, since it is smaller than the sum of its proper divisors (7640).

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 (6840).

6040 is a wasteful number, since it uses less digits than its factorization.

6040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 6040 is about 77.7174369109. The cubic root of 6040 is about 18.2114969825.

Adding to 6040 its reverse (406), we get a palindrome (6446).

It can be divided in two parts, 60 and 40, that added together give a square (100 = 102).

The spelling of 6040 in words is "six thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040