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6830521020 = 223553893613
BaseRepresentation
bin1100101110010000…
…10111101010111100
3122122000211102100000
412113020113222330
5102442103133040
63045441434300
7331160320311
oct62710275274
918560742300
106830521020
1129957185a4
1213a763b990
1384b176b1b
1448b240d08
1529e9dd130
hex197217abc

6830521020 has 144 divisors (see below), whose sum is σ = 21547824480. Its totient is φ = 1816286976.

The previous prime is 6830521007. The next prime is 6830521067. The reversal of 6830521020 is 201250386.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1888734 + ... + 1892346.

It is an arithmetic number, because the mean of its divisors is an integer number (149637670).

Almost surely, 26830521020 is an apocalyptic number.

6830521020 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 6830521020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773912240).

6830521020 is an abundant number, since it is smaller than the sum of its proper divisors (14717303460).

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

6830521020 is a wasteful number, since it uses less digits than its factorization.

6830521020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6830521020 is about 82646.9661875135. The cubic root of 6830521020 is about 1897.3667140673.

The spelling of 6830521020 in words is "six billion, eight hundred thirty million, five hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 389 405 486 540 778 810 972 1167 1215 1556 1620 1945 2334 2430 3501 3613 3890 4668 4860 5835 7002 7226 7780 10503 10839 11670 14004 14452 17505 18065 21006 21678 23340 31509 32517 35010 36130 42012 43356 52515 54195 63018 65034 70020 72260 94527 97551 105030 108390 126036 130068 157545 162585 189054 195102 210060 216780 292653 315090 325170 378108 390204 472635 487755 585306 630180 650340 877959 945270 975510 1170612 1405457 1463265 1755918 1890540 1951020 2810914 2926530 3511836 4216371 4389795 5621828 5853060 7027285 8432742 8779590 12649113 14054570 16865484 17559180 21081855 25298226 28109140 37947339 42163710 50596452 63245565 75894678 84327420 113842017 126491130 151789356 189736695 227684034 252982260 341526051 379473390 455368068 569210085 683052102 758946780 1138420170 1366104204 1707630255 2276840340 3415260510 6830521020