Search a number
-
+
6468280 = 2357131777
BaseRepresentation
bin11000101011001010111000
3110011121210221
4120223022320
53123441110
6350345424
7105656650
oct30531270
913147727
106468280
113718795
1221bb274
1314561b0
14c05360
1587b7da
hex62b2b8

6468280 has 64 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 2045952.

The previous prime is 6468277. The next prime is 6468289. The reversal of 6468280 is 828646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468289) 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 15 ways as a sum of consecutive naturals, for example, 2752 + ... + 4528.

It is an arithmetic number, because the mean of its divisors is an integer number (280035).

Almost surely, 26468280 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 6468280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

6468280 is an abundant number, since it is smaller than the sum of its proper divisors (11453960).

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

6468280 is a wasteful number, since it uses less digits than its factorization.

6468280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 6468280 is about 2543.2813450344. The cubic root of 6468280 is about 186.3214851041.

The spelling of 6468280 in words is "six million, four hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1777 1820 3554 3640 7108 8885 12439 14216 17770 23101 24878 35540 46202 49756 62195 71080 92404 99512 115505 124390 161707 184808 231010 248780 323414 462020 497560 646828 808535 924040 1293656 1617070 3234140 6468280