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6887268 = 223429733
BaseRepresentation
bin11010010001011101100100
3110221220120000
4122101131210
53230343033
6403341300
7112353333
oct32213544
913856500
106887268
113984563
122381830
131571b0b
14cb3d1a
15910a13
hex691764

6887268 has 60 divisors (see below), whose sum is σ = 18650940. Its totient is φ = 2213568.

The previous prime is 6887249. The next prime is 6887273. The reversal of 6887268 is 8627886.

It can be written as a sum of positive squares in 2 ways, for example, as 5560164 + 1327104 = 2358^2 + 1152^2 .

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 9030 + ... + 9762.

It is an arithmetic number, because the mean of its divisors is an integer number (310849).

Almost surely, 26887268 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 6887268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325470).

6887268 is an abundant number, since it is smaller than the sum of its proper divisors (11763672).

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

6887268 is a wasteful number, since it uses less digits than its factorization.

6887268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 6887268 is about 2624.3604935298. The cubic root of 6887268 is about 190.2606579412.

The spelling of 6887268 in words is "six million, eight hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 733 783 1044 1466 1566 2199 2349 2932 3132 4398 4698 6597 8796 9396 13194 19791 21257 26388 39582 42514 59373 63771 79164 85028 118746 127542 191313 237492 255084 382626 573939 765252 1147878 1721817 2295756 3443634 6887268