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8121245340 = 22351328336791
BaseRepresentation
bin1111001000001000…
…00101111010011100
3202221222120000020110
413210010011322130
5113113014322330
63421510250020
7405152306055
oct74404057234
922858500213
108121245340
11349825a90a
1216a7956910
139c56b4b20
1457082972c
15327e99db0
hex1e4105e9c

8121245340 has 96 divisors (see below), whose sum is σ = 24575878656. Its totient is φ = 1991957760.

The previous prime is 8121245311. The next prime is 8121245357. The reversal of 8121245340 is 435421218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8121245298 and 8121245307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202345 + ... + 239135.

It is an arithmetic number, because the mean of its divisors is an integer number (255998736).

Almost surely, 28121245340 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 8121245340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287939328).

8121245340 is an abundant number, since it is smaller than the sum of its proper divisors (16454633316).

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

8121245340 is a wasteful number, since it uses less digits than its factorization.

8121245340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37099 (or 37097 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 8121245340 is about 90117.9523735421. The cubic root of 8121245340 is about 2010.0531606444.

Adding to 8121245340 its reverse (435421218), we get a palindrome (8556666558).

It can be divided in two parts, 81 and 21245340, that added together give a triangular number (21245421 = T6518).

The spelling of 8121245340 in words is "eight billion, one hundred twenty-one million, two hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 283 390 566 780 849 1132 1415 1698 2830 3396 3679 4245 5660 7358 8490 11037 14716 16980 18395 22074 36790 36791 44148 55185 73580 73582 110370 110373 147164 183955 220740 220746 367910 441492 478283 551865 735820 956566 1103730 1434849 1913132 2207460 2391415 2869698 4782830 5739396 7174245 9565660 10411853 14348490 20823706 28696980 31235559 41647412 52059265 62471118 104118530 124942236 135354089 156177795 208237060 270708178 312355590 406062267 541416356 624711180 676770445 812124534 1353540890 1624249068 2030311335 2707081780 4060622670 8121245340