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6480960 = 263543157
BaseRepresentation
bin11000101110010001000000
3110012021012120
4120232101000
53124342320
6350524240
7106041633
oct30562100
913167176
106480960
113727272
122206680
13145bbb5
14c09c1a
15880440
hex62e440

6480960 has 112 divisors (see below), whose sum is σ = 21189696. Its totient is φ = 1677312.

The previous prime is 6480959. The next prime is 6480967. The reversal of 6480960 is 690846.

It is not an unprimeable number, because it can be changed into a prime (6480967) 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, 41202 + ... + 41358.

Almost surely, 26480960 is an apocalyptic number.

6480960 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 6480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594848).

6480960 is an abundant number, since it is smaller than the sum of its proper divisors (14708736).

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

6480960 is a wasteful number, since it uses less digits than its factorization.

6480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6480960 is about 2545.7729670966. The cubic root of 6480960 is about 186.4431565175.

The spelling of 6480960 in words is "six million, four hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 157 160 172 192 215 240 258 314 320 344 430 471 480 516 628 645 688 785 860 942 960 1032 1256 1290 1376 1570 1720 1884 2064 2355 2512 2580 2752 3140 3440 3768 4128 4710 5024 5160 6280 6751 6880 7536 8256 9420 10048 10320 12560 13502 13760 15072 18840 20253 20640 25120 27004 30144 33755 37680 40506 41280 50240 54008 67510 75360 81012 101265 108016 135020 150720 162024 202530 216032 270040 324048 405060 432064 540080 648096 810120 1080160 1296192 1620240 2160320 3240480 6480960