Search a number
-
+
6485120 = 27510133
BaseRepresentation
bin11000101111010010000000
3110012110220122
4120233102000
53130010440
6350555412
7106060025
oct30572200
913173818
106485120
11372a404
122208b68
131460a65
14c0b54c
158817b5
hex62f480

6485120 has 32 divisors (see below), whose sum is σ = 15505020. Its totient is φ = 2593792.

The previous prime is 6485119. The next prime is 6485123. The reversal of 6485120 is 215846.

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 53824 = 2536^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6485120.

It is not an unprimeable number, because it can be changed into a prime (6485123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4427 + ... + 5706.

Almost surely, 26485120 is an apocalyptic number.

It is an amenable number.

6485120 is an abundant number, since it is smaller than the sum of its proper divisors (9019900).

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

6485120 is a wasteful number, since it uses less digits than its factorization.

6485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 6485120 is about 2546.5898766782. The cubic root of 6485120 is about 186.4830393765.

It can be divided in two parts, 64 and 85120, that added together give a cube (85184 = 443).

The spelling of 6485120 in words is "six million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 10133 20266 40532 50665 81064 101330 162128 202660 324256 405320 648512 810640 1297024 1621280 3242560 6485120