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6704256 = 273131779
BaseRepresentation
bin11001100100110010000000
3110121121111210
4121210302000
53204014011
6355410120
7110661636
oct31446200
913547453
106704256
11386a009
1222b3940
131509720
14c67356
158c66a6
hex664c80

6704256 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1916928.

The previous prime is 6704237. The next prime is 6704261. The reversal of 6704256 is 6524076.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84825 + ... + 84903.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 26704256 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 6704256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6704256 is an abundant number, since it is smaller than the sum of its proper divisors (13858944).

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

6704256 is a wasteful number, since it uses less digits than its factorization.

6704256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6704256 is about 2589.2578087166. The cubic root of 6704256 is about 188.5602721984.

The spelling of 6704256 in words is "six million, seven hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 79 96 102 104 128 136 156 158 192 204 208 221 237 272 312 316 384 408 416 442 474 544 624 632 663 816 832 884 948 1027 1088 1248 1264 1326 1343 1632 1664 1768 1896 2054 2176 2496 2528 2652 2686 3081 3264 3536 3792 4029 4108 4992 5056 5304 5372 6162 6528 7072 7584 8058 8216 10112 10608 10744 12324 14144 15168 16116 16432 17459 21216 21488 24648 28288 30336 32232 32864 34918 42432 42976 49296 52377 64464 65728 69836 84864 85952 98592 104754 128928 131456 139672 171904 197184 209508 257856 279344 394368 419016 515712 558688 838032 1117376 1676064 2234752 3352128 6704256