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2741280480 = 2532519100193
BaseRepresentation
bin1010001101100100…
…1001111011100000
321002001012110212200
42203121021323200
521103231433410
61132003053200
7124634333241
oct24331117340
97061173780
102741280480
111187421664
12646071200
13348c0b073
141c00dacc8
151109db3c0
hexa3649ee0

2741280480 has 144 divisors (see below), whose sum is σ = 9847066320. Its totient is φ = 692527104.

The previous prime is 2741280473. The next prime is 2741280517. The reversal of 2741280480 is 840821472.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22737 + ... + 77456.

It is an arithmetic number, because the mean of its divisors is an integer number (68382405).

Almost surely, 22741280480 is an apocalyptic number.

2741280480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2741280480 is an abundant number, since it is smaller than the sum of its proper divisors (7105785840).

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

2741280480 is a wasteful number, since it uses less digits than its factorization.

2741280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100233 (or 100222 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2741280480 is about 52357.2390410342. The cubic root of 2741280480 is about 1399.5373437220.

The spelling of 2741280480 in words is "two billion, seven hundred forty-one million, two hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 100193 200386 300579 400772 500965 601158 801544 901737 1001930 1202316 1502895 1603088 1803474 1903667 2003860 2404632 3005790 3206176 3606948 3807334 4007720 4508685 4809264 5711001 6011580 7213896 7614668 8015440 9017370 9518335 9618528 11422002 12023160 14427792 15229336 16030880 17133003 18034740 19036670 22844004 24046320 28555005 28855584 30458672 34266006 36069480 38073340 45688008 48092640 57110010 60917344 68532012 72138960 76146680 85665015 91376016 114220020 137064024 144277920 152293360 171330030 182752032 228440040 274128048 304586720 342660060 456880080 548256096 685320120 913760160 1370640240 2741280480