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8068320 = 2532513431
BaseRepresentation
bin11110110001110011100000
3120011220122200
4132301303200
54031141240
6444533200
7125402541
oct36616340
916156580
108068320
114610937
122851200
131896570
1411004c8
15a95930
hex7b1ce0

8068320 has 144 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 1981440.

The previous prime is 8068303. The next prime is 8068327. The reversal of 8068320 is 238608.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18505 + ... + 18935.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 28068320 is an apocalyptic number.

8068320 is a gapful number since it is divisible by the number (80) 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 8068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

8068320 is an abundant number, since it is smaller than the sum of its proper divisors (21651552).

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

8068320 is a wasteful number, since it uses less digits than its factorization.

8068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8068320 is about 2840.4788328731. The cubic root of 8068320 is about 200.5677202769.

The spelling of 8068320 in words is "eight million, sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 431 468 480 520 585 624 720 780 862 936 1040 1170 1248 1293 1440 1560 1724 1872 2080 2155 2340 2586 3120 3448 3744 3879 4310 4680 5172 5603 6240 6465 6896 7758 8620 9360 10344 11206 12930 13792 15516 16809 17240 18720 19395 20688 22412 25860 28015 31032 33618 34480 38790 41376 44824 50427 51720 56030 62064 67236 68960 77580 84045 89648 100854 103440 112060 124128 134472 155160 168090 179296 201708 206880 224120 252135 268944 310320 336180 403416 448240 504270 537888 620640 672360 806832 896480 1008540 1344720 1613664 2017080 2689440 4034160 8068320