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6686080 = 27531337
BaseRepresentation
bin11001100000010110000000
3110120200120121
4121200112000
53202423310
6355150024
7110554642
oct31402600
913520517
106686080
113857395
1222a5314
13150137b
14c60892
158c10da
hex660580

6686080 has 64 divisors (see below), whose sum is σ = 16548480. Its totient is φ = 2580480.

The previous prime is 6686051. The next prime is 6686093. The reversal of 6686080 is 806866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19672 + ... + 20008.

It is an arithmetic number, because the mean of its divisors is an integer number (258570).

Almost surely, 26686080 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 6686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274240).

6686080 is an abundant number, since it is smaller than the sum of its proper divisors (9862400).

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

6686080 is a wasteful number, since it uses less digits than its factorization.

6686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 6686080 is about 2585.7455404583. The cubic root of 6686080 is about 188.3897151959.

The spelling of 6686080 in words is "six million, six hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 337 496 620 640 674 992 1240 1348 1685 1984 2480 2696 3370 3968 4960 5392 6740 9920 10447 10784 13480 19840 20894 21568 26960 41788 43136 52235 53920 83576 104470 107840 167152 208940 215680 334304 417880 668608 835760 1337216 1671520 3343040 6686080