Search a number
-
+
8010320 = 245100129
BaseRepresentation
bin11110100011101001010000
3120001222002112
4132203221100
54022312240
6443404452
7125041463
oct36435120
916058075
108010320
1145812aa
122823728
131876046
1410c72da
15a83665
hex7a3a50

8010320 has 20 divisors (see below), whose sum is σ = 18624180. Its totient is φ = 3204096.

The previous prime is 8010313. The next prime is 8010323. The reversal of 8010320 is 230108.

It can be written as a sum of positive squares in 2 ways, for example, as 2383936 + 5626384 = 1544^2 + 2372^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8010295 and 8010304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49985 + ... + 50144.

It is an arithmetic number, because the mean of its divisors is an integer number (931209).

Almost surely, 28010320 is an apocalyptic number.

8010320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8010320 is an abundant number, since it is smaller than the sum of its proper divisors (10613860).

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

8010320 is a wasteful number, since it uses less digits than its factorization.

8010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100142 (or 100136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8010320 is about 2830.2508722726. The cubic root of 8010320 is about 200.0859630465.

Adding to 8010320 its reverse (230108), we get a palindrome (8240428).

The spelling of 8010320 in words is "eight million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 100129 200258 400516 500645 801032 1001290 1602064 2002580 4005160 8010320