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6483480 = 233597557
BaseRepresentation
bin11000101110111000011000
3110012101122220
4120232320120
53124432410
6350544040
7106052163
oct30567030
913171586
106483480
113729153
122208020
1314600a3
14c0aada
15881070
hex62ee18

6483480 has 64 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 1708032.

The previous prime is 6483479. The next prime is 6483481. The reversal of 6483480 is 843846.

It is an interprime number because it is at equal distance from previous prime (6483479) and next prime (6483481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6483481) 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, 11362 + ... + 11918.

Almost surely, 26483480 is an apocalyptic number.

6483480 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 6483480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

6483480 is an abundant number, since it is smaller than the sum of its proper divisors (13202760).

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

6483480 is a wasteful number, since it uses less digits than its factorization.

6483480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6483480 is about 2546.2678570802. The cubic root of 6483480 is about 186.4673183634.

The spelling of 6483480 in words is "six million, four hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 557 582 776 970 1114 1164 1455 1671 1940 2228 2328 2785 2910 3342 3880 4456 5570 5820 6684 8355 11140 11640 13368 16710 22280 33420 54029 66840 108058 162087 216116 270145 324174 432232 540290 648348 810435 1080580 1296696 1620870 2161160 3241740 6483480