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839868920 = 2351123372243
BaseRepresentation
bin110010000011110…
…110000111111000
32011112100202120022
4302003312013320
53210001301140
6215201150012
726545524302
oct6203660770
92145322508
10839868920
113a10a1a50
121b532b308
13105001b77
147d786972
154db000b5
hex320f61f8

839868920 has 128 divisors (see below), whose sum is σ = 2210250240. Its totient is φ = 284106240.

The previous prime is 839868893. The next prime is 839868941. The reversal of 839868920 is 29868938.

839868920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 373319 + ... + 375561.

It is an arithmetic number, because the mean of its divisors is an integer number (17267580).

Almost surely, 2839868920 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 839868920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105125120).

839868920 is an abundant number, since it is smaller than the sum of its proper divisors (1370381320).

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

839868920 is a wasteful number, since it uses less digits than its factorization.

839868920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The square root of 839868920 is about 28980.4920593147. The cubic root of 839868920 is about 943.4897145160.

The spelling of 839868920 in words is "eight hundred thirty-nine million, eight hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 37 40 44 46 55 74 88 92 110 115 148 184 185 220 230 253 296 370 407 440 460 506 740 814 851 920 1012 1265 1480 1628 1702 2024 2035 2243 2530 3256 3404 4070 4255 4486 5060 6808 8140 8510 8972 9361 10120 11215 16280 17020 17944 18722 22430 24673 34040 37444 44860 46805 49346 51589 74888 82991 89720 93610 98692 103178 123365 165982 187220 197384 206356 246730 257945 331964 374440 412712 414955 493460 515890 567479 663928 829910 912901 986920 1031780 1134958 1659820 1825802 1908793 2063560 2269916 2837395 3319640 3651604 3817586 4539832 4564505 5674790 7303208 7635172 9129010 9543965 11349580 15270344 18258020 19087930 20996723 22699160 36516040 38175860 41993446 76351720 83986892 104983615 167973784 209967230 419934460 839868920