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6380 = 2251129
BaseRepresentation
bin1100011101100
322202022
41203230
5201010
645312
724413
oct14354
98668
106380
114880
123838
132b9a
14247a
151d55
hex18ec

6380 has 24 divisors (see below), whose sum is σ = 15120. Its totient is φ = 2240.

The previous prime is 6379. The next prime is 6389. The reversal of 6380 is 836.

6380 = T10 + T11 + ... + T33.

It is a happy number.

6380 is nontrivially palindromic in base 9.

6380 is an undulating number in base 12.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6389) 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 7 ways as a sum of consecutive naturals, for example, 206 + ... + 234.

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

26380 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 6380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

6380 is an abundant number, since it is smaller than the sum of its proper divisors (8740).

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

6380 is a wasteful number, since it uses less digits than its factorization.

6380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6380 is about 79.8749021909. The cubic root of 6380 is about 18.5469952001.

The spelling of 6380 in words is "six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380