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6460 = 2251719
BaseRepresentation
bin1100100111100
322212021
41210330
5201320
645524
724556
oct14474
98767
106460
114943
1238a4
132c2c
1424d6
151daa
hex193c

6460 has 24 divisors (see below), whose sum is σ = 15120. Its totient is φ = 2304.

The previous prime is 6451. The next prime is 6469. The reversal of 6460 is 646.

6460 = T16 + T17 + ... + T34.

6460 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (6451) and next prime (6469).

6460 is an undulating number in base 13.

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6469) by changing a digit.

6460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 331 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

26460 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 6460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

6460 is an abundant number, since it is smaller than the sum of its proper divisors (8660).

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

6460 is a wasteful number, since it uses less digits than its factorization.

6460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 6460 is about 80.3741251896. The cubic root of 6460 is about 18.6241948213.

The spelling of 6460 in words is "six thousand, four hundred sixty".