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6081328 = 2411109317
BaseRepresentation
bin10111001100101100110000
3102102222000101
4113030230300
53024100303
6334202144
7102455551
oct27145460
912388011
106081328
113483aa0
122053354
13134c026
14b44328
15801d1d
hex5ccb30

6081328 has 40 divisors (see below), whose sum is σ = 13012560. Its totient is φ = 2730240.

The previous prime is 6081323. The next prime is 6081331. The reversal of 6081328 is 8231806.

6081328 is a nontrivial binomial coefficient, being equal to C(3488, 2).

It is a junction number, because it is equal to n+sod(n) for n = 6081296 and 6081305.

It is not an unprimeable number, because it can be changed into a prime (6081323) 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 7 ways as a sum of consecutive naturals, for example, 19026 + ... + 19342.

It is an arithmetic number, because the mean of its divisors is an integer number (325314).

Almost surely, 26081328 is an apocalyptic number.

6081328 is the 3487-th triangular number and also the 1744-th hexagonal number.

6081328 is the 1163-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6081328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506280).

6081328 is an abundant number, since it is smaller than the sum of its proper divisors (6931232).

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

6081328 is a wasteful number, since it uses less digits than its factorization.

6081328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6081328 is about 2466.0348740438. The cubic root of 6081328 is about 182.5293929014.

It can be divided in two parts, 608 and 1328, that added together give a square (1936 = 442).

The spelling of 6081328 in words is "six million, eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 317 436 634 872 1199 1268 1744 2398 2536 3487 4796 5072 6974 9592 13948 19184 27896 34553 55792 69106 138212 276424 380083 552848 760166 1520332 3040664 6081328