Search a number
-
+
6486740 = 2251361409
BaseRepresentation
bin11000101111101011010100
3110012120010122
4120233223110
53130033430
6351011112
7106064531
oct30575324
913176118
106486740
113730647
122209a98
131461710
14c0bd88
15881ee5
hex62fad4

6486740 has 48 divisors (see below), whose sum is σ = 14946960. Its totient is φ = 2350080.

The previous prime is 6486737. The next prime is 6486751. The reversal of 6486740 is 476846.

It can be written as a sum of positive squares in 8 ways, for example, as 659344 + 5827396 = 812^2 + 2414^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6486740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15656 + ... + 16064.

It is an arithmetic number, because the mean of its divisors is an integer number (311395).

Almost surely, 26486740 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 6486740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473480).

6486740 is an abundant number, since it is smaller than the sum of its proper divisors (8460220).

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

6486740 is a wasteful number, since it uses less digits than its factorization.

6486740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 6486740 is about 2546.9079292350. The cubic root of 6486740 is about 186.4985660679.

The spelling of 6486740 in words is "six million, four hundred eighty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 409 610 793 818 1220 1586 1636 2045 3172 3965 4090 5317 7930 8180 10634 15860 21268 24949 26585 49898 53170 99796 106340 124745 249490 324337 498980 648674 1297348 1621685 3243370 6486740