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4081300960 = 255112210811
BaseRepresentation
bin1111001101000011…
…1011010111100000
3101112102200120101211
43303100323113200
531324303112320
61512552235504
7203065325422
oct36320732740
911472616354
104081300960
111804873900
1295a99bb94
13500718ca9
142aa078812
1518d48455a
hexf343b5e0

4081300960 has 72 divisors (see below), whose sum is σ = 10598362488. Its totient is φ = 1484102400.

The previous prime is 4081300931. The next prime is 4081300961. The reversal of 4081300960 is 690031804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081300961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86046 + ... + 124765.

It is an arithmetic number, because the mean of its divisors is an integer number (147199479).

Almost surely, 24081300960 is an apocalyptic number.

4081300960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4081300960 is an abundant number, since it is smaller than the sum of its proper divisors (6517061528).

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

4081300960 is a wasteful number, since it uses less digits than its factorization.

4081300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210848 (or 210829 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4081300960 is about 63885.0605384389. The cubic root of 4081300960 is about 1598.0837684516.

The spelling of 4081300960 in words is "four billion, eighty-one million, three hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 210811 421622 843244 1054055 1686488 2108110 2318921 3372976 4216220 4637842 6745952 8432440 9275684 11594605 16864880 18551368 23189210 25508131 33729760 37102736 46378420 51016262 74205472 92756840 102032524 127540655 185513680 204065048 255081310 371027360 408130096 510162620 816260192 1020325240 2040650480 4081300960