Search a number
-
+
6816032 = 25316871
BaseRepresentation
bin11010000000000100100000
3110211021211122
4122000010200
53221103112
6402031412
7111635546
oct32000440
913737748
106816032
113935a93
122348568
131548572
14c95d96
158e9872
hex680120

6816032 has 24 divisors (see below), whose sum is σ = 13853952. Its totient is φ = 3297600.

The previous prime is 6816013. The next prime is 6816049. The reversal of 6816032 is 2306186.

It is a junction number, because it is equal to n+sod(n) for n = 6815992 and 6816010.

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, 2444 + ... + 4427.

It is an arithmetic number, because the mean of its divisors is an integer number (577248).

Almost surely, 26816032 is an apocalyptic number.

6816032 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6816032 is an abundant number, since it is smaller than the sum of its proper divisors (7037920).

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

6816032 is a wasteful number, since it uses less digits than its factorization.

6816032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 6816032 is about 2610.7531480399. The cubic root of 6816032 is about 189.6024188598.

The spelling of 6816032 in words is "six million, eight hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 6871 13742 27484 54968 109936 213001 219872 426002 852004 1704008 3408016 6816032