Search a number
-
+
6508140 = 2235313499
BaseRepresentation
bin11000110100111001101100
3110020122111020
4120310321230
53131230030
6351254140
7106214112
oct30647154
913218436
106508140
113745731
12221a350
13146b392
14c15ab2
15888510
hex634e6c

6508140 has 48 divisors (see below), whose sum is σ = 18816000. Its totient is φ = 1679040.

The previous prime is 6508133. The next prime is 6508141. The reversal of 6508140 is 418056.

6508140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 6508140.

It is not an unprimeable number, because it can be changed into a prime (6508141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111 + ... + 3609.

It is an arithmetic number, because the mean of its divisors is an integer number (392000).

Almost surely, 26508140 is an apocalyptic number.

6508140 is a gapful number since it is divisible by the number (60) 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 6508140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408000).

6508140 is an abundant number, since it is smaller than the sum of its proper divisors (12307860).

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

6508140 is a wasteful number, since it uses less digits than its factorization.

6508140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6508140 is about 2551.1056426577. The cubic root of 6508140 is about 186.7034295507.

The spelling of 6508140 in words is "six million, five hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3499 6998 10497 13996 17495 20994 34990 41988 52485 69980 104970 108469 209940 216938 325407 433876 542345 650814 1084690 1301628 1627035 2169380 3254070 6508140