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6840896940 = 22325149379673
BaseRepresentation
bin1100101111011111…
…11100110110101100
3122122202100120102100
412113233330312230
5103002232200230
63050452055100
7331344443643
oct62757746654
918582316370
106840896940
1129a0565139
1213ab004490
1385036a817
1448c78235a
152a088c660
hex197bfcdac

6840896940 has 144 divisors (see below), whose sum is σ = 20976228000. Its totient is φ = 1804529664.

The previous prime is 6840896939. The next prime is 6840896947. The reversal of 6840896940 is 496980486.

6840896940 is a `hidden beast` number, since 68 + 408 + 96 + 94 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6840896947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10164444 + ... + 10165116.

It is an arithmetic number, because the mean of its divisors is an integer number (145668250).

Almost surely, 26840896940 is an apocalyptic number.

6840896940 is a gapful number since it is divisible by the number (60) 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 6840896940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488114000).

6840896940 is an abundant number, since it is smaller than the sum of its proper divisors (14135331060).

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

6840896940 is a wasteful number, since it uses less digits than its factorization.

6840896940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6840896940 is about 82709.7149070168. The cubic root of 6840896940 is about 1898.3269612233.

The spelling of 6840896940 in words is "six billion, eight hundred forty million, eight hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 379 447 596 673 745 758 894 1137 1341 1346 1490 1516 1788 1895 2019 2235 2274 2682 2692 2980 3365 3411 3790 4038 4470 4548 5364 5685 6057 6705 6730 6822 7580 8076 8940 10095 11370 12114 13410 13460 13644 17055 20190 22740 24228 26820 30285 34110 40380 56471 60570 68220 100277 112942 121140 169413 200554 225884 255067 282355 300831 338826 401108 501385 508239 510134 564710 601662 677652 765201 847065 902493 1002770 1016478 1020268 1129420 1203324 1275335 1504155 1530402 1694130 1804986 2005540 2032956 2295603 2541195 2550670 3008310 3060804 3388260 3609972 3826005 4512465 4591206 5082390 5101340 6016620 7652010 9024930 9182412 10164780 11478015 15304020 18049860 22956030 38004983 45912060 76009966 114014949 152019932 190024915 228029898 342044847 380049830 456059796 570074745 684089694 760099660 1140149490 1368179388 1710224235 2280298980 3420448470 6840896940