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6412 = 227229
BaseRepresentation
bin1100100001100
322210111
41210030
5201122
645404
724460
oct14414
98714
106412
1148aa
123864
132bc3
1424a0
151d77
hex190c

6412 has 12 divisors (see below), whose sum is σ = 12880. Its totient is φ = 2736.

The previous prime is 6397. The next prime is 6421. The reversal of 6412 is 2146.

6412 = T23 + T24 + ... + T36.

6412 is an admirable number.

It is a super-2 number, since 2×64122 = 82227488, which contains 22 as substring.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 6392 and 6401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 142.

26412 is an apocalyptic number.

It is an amenable number.

6412 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (6440).

6412 is a wasteful number, since it uses less digits than its factorization.

6412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 6412 is about 80.0749648767. The cubic root of 6412 is about 18.5779520616.

Adding to 6412 its reverse (2146), we get a palindrome (8558).

The spelling of 6412 in words is "six thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 229 458 916 1603 3206 6412