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6289668 = 22327112269
BaseRepresentation
bin10111111111100100000100
3102211112210200
4113333210010
53102232133
6342450500
7104314140
oct27774404
912745720
106289668
113606580
122133a30
1313c2ac8
14b9a220
15843913
hex5ff904

6289668 has 72 divisors (see below), whose sum is σ = 19830720. Its totient is φ = 1632960.

The previous prime is 6289663. The next prime is 6289697. The reversal of 6289668 is 8669826.

It is not an unprimeable number, because it can be changed into a prime (6289663) 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 23 ways as a sum of consecutive naturals, for example, 1638 + ... + 3906.

Almost surely, 26289668 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 6289668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9915360).

6289668 is an abundant number, since it is smaller than the sum of its proper divisors (13541052).

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

6289668 is a wasteful number, since it uses less digits than its factorization.

6289668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2292 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6289668 is about 2507.9210513890. The cubic root of 6289668 is about 184.5904551274.

It can be divided in two parts, 628 and 9668, that added together give a triangular number (10296 = T143).

The spelling of 6289668 in words is "six million, two hundred eighty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2269 2772 4538 6807 9076 13614 15883 20421 24959 27228 31766 40842 47649 49918 63532 74877 81684 95298 99836 142947 149754 174713 190596 224631 285894 299508 349426 449262 524139 571788 698852 898524 1048278 1572417 2096556 3144834 6289668