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2751728120 = 2351741229431
BaseRepresentation
bin1010010000000100…
…0000100111111000
321002202212021100022
42210001000213320
521113420244440
61133015030012
7125122205651
oct24401004770
97082767308
102751728120
111192308079
1264966b308
1334b1285bb
141c165a528
151118a1cb5
hexa40409f8

2751728120 has 128 divisors (see below), whose sum is σ = 6760454400. Its totient is φ = 1003929600.

The previous prime is 2751728093. The next prime is 2751728141. The reversal of 2751728120 is 218271572.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6384305 + ... + 6384735.

It is an arithmetic number, because the mean of its divisors is an integer number (52816050).

Almost surely, 22751728120 is an apocalyptic number.

2751728120 is a gapful number since it is divisible by the number (20) 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 2751728120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380227200).

2751728120 is an abundant number, since it is smaller than the sum of its proper divisors (4008726280).

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

2751728120 is a wasteful number, since it uses less digits than its factorization.

2751728120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 2751728120 is about 52456.9167984547. The cubic root of 2751728120 is about 1401.3130741918.

Adding to 2751728120 its reverse (218271572), we get a palindrome (2969999692).

The spelling of 2751728120 in words is "two billion, seven hundred fifty-one million, seven hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 229 328 340 410 431 458 680 697 820 862 916 1145 1394 1640 1724 1832 2155 2290 2788 3448 3485 3893 4310 4580 5576 6970 7327 7786 8620 9160 9389 13940 14654 15572 17240 17671 18778 19465 27880 29308 31144 35342 36635 37556 38930 46945 58616 70684 73270 75112 77860 88355 93890 98699 141368 146540 155720 159613 176710 187780 197398 293080 300407 319226 353420 375560 394796 493495 600814 638452 706840 789592 798065 986990 1201628 1276904 1502035 1596130 1677883 1973980 2403256 3004070 3192260 3355766 3947960 4046659 6008140 6384520 6711532 8093318 8389415 12016280 13423064 16186636 16778830 20233295 32373272 33557660 40466590 67115320 68793203 80933180 137586406 161866360 275172812 343966015 550345624 687932030 1375864060 2751728120