Search a number
-
+
6682816 = 26722131
BaseRepresentation
bin11001011111100011000000
3110120112002201
4121133203000
53202322231
6355122544
7110542300
oct31374300
913515081
106682816
113854998
1222a3454
1314cca3a
14c5d600
158c0161
hex65f8c0

6682816 has 42 divisors (see below), whose sum is σ = 15433548. Its totient is φ = 2862720.

The previous prime is 6682801. The next prime is 6682843. The reversal of 6682816 is 6182866.

It is an unprimeable number.

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, 2071 + ... + 4201.

Almost surely, 26682816 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 6682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716774).

6682816 is an abundant number, since it is smaller than the sum of its proper divisors (8750732).

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

6682816 is a wasteful number, since it uses less digits than its factorization.

6682816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2140 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 6682816 is about 2585.1143108188. The cubic root of 6682816 is about 188.3590542746.

The spelling of 6682816 in words is "six million, six hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2131 3136 4262 8524 14917 17048 29834 34096 59668 68192 104419 119336 136384 208838 238672 417676 477344 835352 954688 1670704 3341408 6682816