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6704320 = 26574173
BaseRepresentation
bin11001100100110011000000
3110121121121011
4121210303000
53204014240
6355410304
7110662060
oct31446300
913547534
106704320
11386a067
1222b3994
13150976c
14c673a0
158c66ea
hex664cc0

6704320 has 112 divisors (see below), whose sum is σ = 18946368. Its totient is φ = 2211840.

The previous prime is 6704309. The next prime is 6704333. The reversal of 6704320 is 234076.

6704320 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 6704291 and 6704300.

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, 91804 + ... + 91876.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

Almost surely, 26704320 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 6704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473184).

6704320 is an abundant number, since it is smaller than the sum of its proper divisors (12242048).

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

6704320 is a wasteful number, since it uses less digits than its factorization.

6704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 6704320 is about 2589.2701674410. The cubic root of 6704320 is about 188.5608722063.

Adding to 6704320 its reverse (234076), we get a palindrome (6938396).

The spelling of 6704320 in words is "six million, seven hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 73 80 82 112 140 146 160 164 205 224 280 287 292 320 328 365 410 448 511 560 574 584 656 730 820 1022 1120 1148 1168 1312 1435 1460 1640 2044 2240 2296 2336 2555 2624 2870 2920 2993 3280 4088 4592 4672 5110 5740 5840 5986 6560 8176 9184 10220 11480 11680 11972 13120 14965 16352 18368 20440 20951 22960 23360 23944 29930 32704 40880 41902 45920 47888 59860 81760 83804 91840 95776 104755 119720 163520 167608 191552 209510 239440 335216 419020 478880 670432 838040 957760 1340864 1676080 3352160 6704320