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6482240420 = 22517233592309
BaseRepresentation
bin1100000100101111…
…10010001110100100
3121201202110221011112
412002113302032210
5101233423143140
62551120524152
7316431064055
oct60227621644
917652427145
106482240420
112827068197
12130aa80658
137c3c73426
14456ca072c
1527e143c65
hex1825f23a4

6482240420 has 96 divisors (see below), whose sum is σ = 15088550400. Its totient is φ = 2326759424.

The previous prime is 6482240417. The next prime is 6482240441. The reversal of 6482240420 is 240422846.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2806226 + ... + 2808534.

It is an arithmetic number, because the mean of its divisors is an integer number (157172400).

Almost surely, 26482240420 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 6482240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544275200).

6482240420 is an abundant number, since it is smaller than the sum of its proper divisors (8606309980).

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

6482240420 is a wasteful number, since it uses less digits than its factorization.

6482240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 6482240420 is about 80512.3619079704. The cubic root of 6482240420 is about 1864.5543401064.

The spelling of 6482240420 in words is "six billion, four hundred eighty-two million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 359 391 460 718 782 1436 1564 1795 1955 2309 3590 3910 4618 6103 7180 7820 8257 9236 11545 12206 16514 23090 24412 30515 33028 39253 41285 46180 53107 61030 78506 82570 106214 122060 140369 157012 165140 196265 212428 265535 280738 392530 531070 561476 701845 785060 828931 902819 1062140 1403690 1657862 1805638 2807380 3315724 3611276 4144655 4514095 8289310 9028190 14091827 16578620 18056380 19065413 28183654 38130826 56367308 70459135 76261652 95327065 140918270 190654130 281836540 324112021 381308260 648224042 1296448084 1620560105 3241120210 6482240420