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6480320 = 265711263
BaseRepresentation
bin11000101110000111000000
3110012020022212
4120232013000
53124332240
6350521252
7106040030
oct30560700
913166285
106480320
113726840
122206228
13145b812
14c098c0
15880165
hex62e1c0

6480320 has 112 divisors (see below), whose sum is σ = 19312128. Its totient is φ = 2012160.

The previous prime is 6480301. The next prime is 6480329. The reversal of 6480320 is 230846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6480329) 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, 24509 + ... + 24771.

Almost surely, 26480320 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 6480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656064).

6480320 is an abundant number, since it is smaller than the sum of its proper divisors (12831808).

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

6480320 is a wasteful number, since it uses less digits than its factorization.

6480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6480320 is about 2545.6472654317. The cubic root of 6480320 is about 186.4370191783.

It can be divided in two parts, 6480 and 320, that multiplied together give a square (2073600 = 14402).

The spelling of 6480320 in words is "six million, four hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 263 280 308 320 352 385 440 448 526 560 616 704 770 880 1052 1120 1232 1315 1540 1760 1841 2104 2240 2464 2630 2893 3080 3520 3682 4208 4928 5260 5786 6160 7364 8416 9205 10520 11572 12320 14465 14728 16832 18410 20251 21040 23144 24640 28930 29456 36820 40502 42080 46288 57860 58912 73640 81004 84160 92576 101255 115720 117824 147280 162008 185152 202510 231440 294560 324016 405020 462880 589120 648032 810040 925760 1296064 1620080 3240160 6480320