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1826328020 = 22511217103431
BaseRepresentation
bin110110011011011…
…1000110111010100
311201021120002001112
41230312320313110
512220014444040
6501120314152
763154350326
oct15466706724
94637502045
101826328020
11857a07300
1242b772958
132314aa88a
141347ab616
15aa509365
hex6cdb8dd4

1826328020 has 144 divisors (see below), whose sum is σ = 4517420544. Its totient is φ = 617548800.

The previous prime is 1826328011. The next prime is 1826328043. The reversal of 1826328020 is 208236281.

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, 4237205 + ... + 4237635.

It is an arithmetic number, because the mean of its divisors is an integer number (31370976).

Almost surely, 21826328020 is an apocalyptic number.

1826328020 is a gapful number since it is divisible by the number (10) 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 1826328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272).

1826328020 is an abundant number, since it is smaller than the sum of its proper divisors (2691092524).

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

1826328020 is a wasteful number, since it uses less digits than its factorization.

1826328020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1826328020 is about 42735.5591984006. The cubic root of 1826328020 is about 1222.3425429695.

The spelling of 1826328020 in words is "one billion, eight hundred twenty-six million, three hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 103 110 121 170 187 206 220 242 340 374 412 431 484 515 605 748 862 935 1030 1133 1210 1724 1751 1870 2057 2060 2155 2266 2420 3502 3740 4114 4310 4532 4741 5665 7004 7327 8228 8620 8755 9482 10285 11330 12463 14654 17510 18964 19261 20570 22660 23705 24926 29308 35020 36635 38522 41140 44393 47410 49852 52151 62315 73270 77044 80597 88786 94820 96305 104302 124630 146540 161194 177572 192610 208604 211871 221965 249260 260755 322388 385220 402985 423742 443930 488323 521510 754681 805970 847484 886567 887860 976646 1043020 1059355 1509362 1611940 1773134 1953292 2118710 2441615 3018724 3546268 3773405 4237420 4432835 4883230 5371553 7546810 8301491 8865670 9766460 10743106 15093620 16602982 17731340 21486212 26857765 33205964 41507455 53715530 83014910 91316401 107431060 166029820 182632802 365265604 456582005 913164010 1826328020