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6860 = 22573
BaseRepresentation
bin1101011001100
3100102002
41223030
5204420
651432
726000
oct15314
910362
106860
115177
123b78
133179
142700
152075
hex1acc

6860 has 24 divisors (see below), whose sum is σ = 16800. Its totient is φ = 2352.

The previous prime is 6857. The next prime is 6863. The reversal of 6860 is 686.

It is a Cunningham number, because it is equal to 193+1.

It is an interprime number because it is at equal distance from previous prime (6857) and next prime (6863).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (6863) 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, 977 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

26860 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 6860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400).

6860 is an abundant number, since it is smaller than the sum of its proper divisors (9940).

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

6860 is a wasteful number, since it uses less digits than its factorization.

6860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6860 is about 82.8251169634. The cubic root of 6860 is about 19.0009233162. Note that the first 3 decimals are identical.

6860 divided by its sum of digits (20) gives a palindrome (343).

It can be divided in two parts, 68 and 60, that added together give a 7-th power (128 = 27).

The spelling of 6860 in words is "six thousand, eight hundred sixty".