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6686328 = 23311193143
BaseRepresentation
bin11001100000011001111000
3110120200220210
4121200121320
53202430303
6355151120
7110555445
oct31403170
913520823
106686328
1138575a0
1222a54a0
13150150c
14c609cc
158c1203
hex660678

6686328 has 128 divisors (see below), whose sum is σ = 20275200. Its totient is φ = 1814400.

The previous prime is 6686311. The next prime is 6686333. The reversal of 6686328 is 8236866.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155475 + ... + 155517.

It is an arithmetic number, because the mean of its divisors is an integer number (158400).

Almost surely, 26686328 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 6686328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137600).

6686328 is an abundant number, since it is smaller than the sum of its proper divisors (13588872).

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

6686328 is a wasteful number, since it uses less digits than its factorization.

6686328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 6686328 is about 2585.7934952351. The cubic root of 6686328 is about 188.3920444168.

It can be divided in two parts, 668 and 6328, that added together give a palindrome (6996).

The spelling of 6686328 in words is "six million, six hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 43 44 57 62 66 76 86 88 93 114 124 129 132 152 172 186 209 228 248 258 264 341 344 372 418 456 473 516 589 627 682 744 817 836 946 1023 1032 1178 1254 1333 1364 1419 1634 1672 1767 1892 2046 2356 2451 2508 2666 2728 2838 3268 3534 3784 3999 4092 4712 4902 5016 5332 5676 6479 6536 7068 7998 8184 8987 9804 10664 11352 12958 14136 14663 15996 17974 19437 19608 25327 25916 26961 29326 31992 35948 38874 43989 50654 51832 53922 58652 71896 75981 77748 87978 101308 107844 117304 151962 155496 175956 202616 215688 278597 303924 351912 557194 607848 835791 1114388 1671582 2228776 3343164 6686328