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2065343760 = 243253179049
BaseRepresentation
bin111101100011010…
…1010010100010000
312022221022100000100
41323012222110100
513212212000020
6540535252400
7102116063244
oct17306522420
95287270010
102065343760
1196a918377
1249781a100
1326bb756cc
14158428424
15c14bda90
hex7b1aa510

2065343760 has 120 divisors (see below), whose sum is σ = 6958762200. Its totient is φ = 548960256.

The previous prime is 2065343677. The next prime is 2065343767. The reversal of 2065343760 is 673435602.

It can be written as a sum of positive squares in 4 ways, for example, as 106750224 + 1958593536 = 10332^2 + 44256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (2065343767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223716 + ... + 232764.

It is an arithmetic number, because the mean of its divisors is an integer number (57989685).

Almost surely, 22065343760 is an apocalyptic number.

2065343760 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 2065343760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479381100).

2065343760 is an abundant number, since it is smaller than the sum of its proper divisors (4893418440).

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

2065343760 is a wasteful number, since it uses less digits than its factorization.

2065343760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9385 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2065343760 is about 45446.0532939880. The cubic root of 2065343760 is about 1273.4956004811.

The spelling of 2065343760 in words is "two billion, sixty-five million, three hundred forty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 317 360 634 720 951 1268 1585 1902 2536 2853 3170 3804 4755 5072 5706 6340 7608 9049 9510 11412 12680 14265 15216 18098 19020 22824 25360 27147 28530 36196 38040 45245 45648 54294 57060 72392 76080 81441 90490 108588 114120 135735 144784 162882 180980 217176 228240 271470 325764 361960 407205 434352 542940 651528 723920 814410 1085880 1303056 1628820 2171760 2868533 3257640 5737066 6515280 8605599 11474132 14342665 17211198 22948264 25816797 28685330 34422396 43027995 45896528 51633594 57370660 68844792 86055990 103267188 114741320 129083985 137689584 172111980 206534376 229482640 258167970 344223960 413068752 516335940 688447920 1032671880 2065343760