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6808704 = 273717149
BaseRepresentation
bin11001111110010010000000
3110210220210020
4121332102000
53220334304
6401533440
7111605310
oct31762200
913726706
106808704
113930531
122344280
131545126
14c93440
158e75d9
hex67e480

6808704 has 128 divisors (see below), whose sum is σ = 22032000. Its totient is φ = 1818624.

The previous prime is 6808699. The next prime is 6808709. The reversal of 6808704 is 4078086.

It is an interprime number because it is at equal distance from previous prime (6808699) and next prime (6808709).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6808709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45622 + ... + 45770.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 26808704 is an apocalyptic number.

6808704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016000).

6808704 is an abundant number, since it is smaller than the sum of its proper divisors (15223296).

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

6808704 is a wasteful number, since it uses less digits than its factorization.

6808704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6808704 is about 2609.3493441853. The cubic root of 6808704 is about 189.5344465289.

The spelling of 6808704 in words is "six million, eight hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 149 168 192 204 224 238 272 298 336 357 384 408 447 448 476 544 596 672 714 816 894 896 952 1043 1088 1192 1344 1428 1632 1788 1904 2086 2176 2384 2533 2688 2856 3129 3264 3576 3808 4172 4768 5066 5712 6258 6528 7152 7599 7616 8344 9536 10132 11424 12516 14304 15198 15232 16688 17731 19072 20264 22848 25032 28608 30396 33376 35462 40528 45696 50064 53193 57216 60792 66752 70924 81056 100128 106386 121584 133504 141848 162112 200256 212772 243168 283696 324224 400512 425544 486336 567392 851088 972672 1134784 1702176 2269568 3404352 6808704