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6864260 = 22513171553
BaseRepresentation
bin11010001011110110000100
3110220201222212
4122023312010
53224124020
6403042552
7112226264
oct32136604
913821885
106864260
113969247
122370458
1315644c0
14ca97a4
15908cc5
hex68bd84

6864260 has 48 divisors (see below), whose sum is σ = 16447536. Its totient is φ = 2383872.

The previous prime is 6864259. The next prime is 6864283. The reversal of 6864260 is 624686.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 6061444 = 896^2 + 2462^2 .

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 15 ways as a sum of consecutive naturals, for example, 3644 + ... + 5196.

It is an arithmetic number, because the mean of its divisors is an integer number (342657).

Almost surely, 26864260 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 6864260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223768).

6864260 is an abundant number, since it is smaller than the sum of its proper divisors (9583276).

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

6864260 is a wasteful number, since it uses less digits than its factorization.

6864260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 6864260 is about 2619.9732823065. The cubic root of 6864260 is about 190.0485563803.

The spelling of 6864260 in words is "six million, eight hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 1553 2210 3106 4420 6212 7765 15530 20189 26401 31060 40378 52802 80756 100945 105604 132005 201890 264010 343213 403780 528020 686426 1372852 1716065 3432130 6864260