[go: up one dir, main page]

Search a number
-
+
8320704 = 263741151
BaseRepresentation
bin11111101111011011000000
3120122201212020
4133233123000
54112230304
6454201440
7130503420
oct37573300
916581766
108320704
114773517
122953280
1319543c2
141168480
15ae55d9
hex7ef6c0

8320704 has 112 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 2304000.

The previous prime is 8320693. The next prime is 8320717. The reversal of 8320704 is 4070238.

8320704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 55029 + ... + 55179.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 28320704 is an apocalyptic number.

8320704 is a gapful number since it is divisible by the number (84) 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 8320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

8320704 is an abundant number, since it is smaller than the sum of its proper divisors (17623872).

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

8320704 is a wasteful number, since it uses less digits than its factorization.

8320704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 8320704 is about 2884.5630518330. The cubic root of 8320704 is about 202.6375958610.

The spelling of 8320704 in words is "eight million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 151 164 168 192 224 246 287 302 328 336 448 453 492 574 604 656 672 861 906 984 1057 1148 1208 1312 1344 1722 1812 1968 2114 2296 2416 2624 3171 3444 3624 3936 4228 4592 4832 6191 6342 6888 7248 7872 8456 9184 9664 12382 12684 13776 14496 16912 18368 18573 24764 25368 27552 28992 33824 37146 43337 49528 50736 55104 67648 74292 86674 99056 101472 130011 148584 173348 198112 202944 260022 297168 346696 396224 520044 594336 693392 1040088 1188672 1386784 2080176 2773568 4160352 8320704