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6240 = 253513
BaseRepresentation
bin1100001100000
322120010
41201200
5144430
644520
724123
oct14140
98503
106240
114763
123740
132ac0
1423ba
151cb0
hex1860

6240 has 48 divisors (see below), whose sum is σ = 21168. Its totient is φ = 1536.

The previous prime is 6229. The next prime is 6247. The reversal of 6240 is 426.

Adding to 6240 its reverse (426), we get a palindrome (6666).

It is a Cunningham number, because it is equal to 792-1.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 26 × 10 × 24.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6247) by changing a digit.

6240 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, 474 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (441).

6240 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 6240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584).

6240 is an abundant number, since it is smaller than the sum of its proper divisors (14928).

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

6240 is a wasteful number, since it uses less digits than its factorization.

6240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 23 counting only the distinct ones).

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

The square root of 6240 is about 78.9936706325. The cubic root of 6240 is about 18.4103281650.

The spelling of 6240 in words is "six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240