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6684096 = 263311123
BaseRepresentation
bin11001011111110111000000
3110120120212010
4121133313000
53202342341
6355132520
7110546106
oct31376700
913516763
106684096
113855951
1222a4140
1315004b3
14c5dc76
158c0716
hex65fdc0

6684096 has 56 divisors (see below), whose sum is σ = 18271744. Its totient is φ = 2154240.

The previous prime is 6684091. The next prime is 6684101. The reversal of 6684096 is 6904866.

6684096 = T433 + T434 + ... + T494.

It is an interprime number because it is at equal distance from previous prime (6684091) and next prime (6684101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6684091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5391 + ... + 6513.

Almost surely, 26684096 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 6684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135872).

6684096 is an abundant number, since it is smaller than the sum of its proper divisors (11587648).

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

6684096 is a wasteful number, since it uses less digits than its factorization.

6684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6684096 is about 2585.3618702224. The cubic root of 6684096 is about 188.3710793550.

The spelling of 6684096 in words is "six million, six hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1123 1488 1984 2246 2976 3369 4492 5952 6738 8984 13476 17968 26952 34813 35936 53904 69626 71872 104439 107808 139252 208878 215616 278504 417756 557008 835512 1114016 1671024 2228032 3342048 6684096