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82103340 = 223511243263
BaseRepresentation
bin1001110010011…
…00110000101100
312201111021121110
410321030300230
5132004301330
612051432020
72014603224
oct471146054
9181437543
1082103340
1142388500
12235b5610
1314018877
14ac93084
15731bdb0
hex4e4cc2c

82103340 has 144 divisors (see below), whose sum is σ = 259547904. Its totient is φ = 19367040.

The previous prime is 82103311. The next prime is 82103369. The reversal of 82103340 is 4330128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82103311) and next prime (82103369).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312049 + ... + 312311.

It is an arithmetic number, because the mean of its divisors is an integer number (1802416).

Almost surely, 282103340 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 82103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773952).

82103340 is an abundant number, since it is smaller than the sum of its proper divisors (177444564).

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

82103340 is a wasteful number, since it uses less digits than its factorization.

82103340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 82103340 is about 9061.0893384846. The cubic root of 82103340 is about 434.6305755076.

Adding to 82103340 its reverse (4330128), we get a palindrome (86433468).

The spelling of 82103340 in words is "eighty-two million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 121 129 132 165 172 215 220 242 258 263 330 363 430 473 484 516 526 605 645 660 726 789 860 946 1052 1210 1290 1315 1419 1452 1578 1815 1892 2365 2420 2580 2630 2838 2893 3156 3630 3945 4730 5203 5260 5676 5786 7095 7260 7890 8679 9460 10406 11309 11572 14190 14465 15609 15780 17358 20812 22618 26015 28380 28930 31218 31823 33927 34716 43395 45236 52030 56545 57860 62436 63646 67854 78045 86790 95469 104060 113090 124399 127292 135708 156090 159115 169635 173580 190938 226180 248798 312180 318230 339270 373197 381876 477345 497596 621995 636460 678540 746394 954690 1243990 1368389 1492788 1865985 1909380 2487980 2736778 3731970 4105167 5473556 6841945 7463940 8210334 13683890 16420668 20525835 27367780 41051670 82103340