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6412968 = 233289069
BaseRepresentation
bin11000011101101010101000
3110001210221100
4120131222220
53120203333
6345241400
7105336462
oct30355250
913053840
106412968
113690181
122193260
131436c73
14bcd132
1586a213
hex61daa8

6412968 has 24 divisors (see below), whose sum is σ = 17368650. Its totient is φ = 2137632.

The previous prime is 6412957. The next prime is 6412969. The reversal of 6412968 is 8692146.

6412968 is a `hidden beast` number, since 641 + 2 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6140484 + 272484 = 2478^2 + 522^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×64129682 = 82252317138048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6412969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44463 + ... + 44606.

Almost surely, 26412968 is an apocalyptic number.

It is an amenable number.

6412968 is an abundant number, since it is smaller than the sum of its proper divisors (10955682).

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

6412968 is a wasteful number, since it uses less digits than its factorization.

6412968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89081 (or 89074 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6412968 is about 2532.3838571591. The cubic root of 6412968 is about 185.7888690006.

The spelling of 6412968 in words is "six million, four hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89069 178138 267207 356276 534414 712552 801621 1068828 1603242 2137656 3206484 6412968