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1800845420 = 2251124771223
BaseRepresentation
bin110101101010110…
…1011100001101100
311122111121102111112
41223111223201230
512142004023140
6454410211152
762424635123
oct15325534154
94574542445
101800845420
11844591900
12423123ab8
13229127b0a
14131256aba
15a8173c65
hex6b56b86c

1800845420 has 144 divisors (see below), whose sum is σ = 4324368384. Its totient is φ = 629059200.

The previous prime is 1800845413. The next prime is 1800845437. The reversal of 1800845420 is 245480081.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8075429 + ... + 8075651.

It is an arithmetic number, because the mean of its divisors is an integer number (30030336).

Almost surely, 21800845420 is an apocalyptic number.

1800845420 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 1800845420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162184192).

1800845420 is an abundant number, since it is smaller than the sum of its proper divisors (2523522964).

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

1800845420 is a wasteful number, since it uses less digits than its factorization.

1800845420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 1800845420 is about 42436.3690718233. The cubic root of 1800845420 is about 1216.6308143143.

The spelling of 1800845420 in words is "one billion, eight hundred million, eight hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 71 94 110 121 142 188 220 223 235 242 284 355 446 470 484 517 605 710 781 892 940 1034 1115 1210 1420 1562 2068 2230 2420 2453 2585 3124 3337 3905 4460 4906 5170 5687 6674 7810 8591 9812 10340 10481 11374 12265 13348 15620 15833 16685 17182 20962 22748 24530 26983 28435 31666 33370 34364 36707 41924 42955 49060 52405 53966 56870 63332 66740 73414 79165 85910 104810 107932 113740 115291 134915 146828 158330 171820 174163 183535 209620 230582 269830 316660 348326 367070 403777 461164 539660 576455 696652 734140 744151 807554 870815 1152910 1268201 1488302 1615108 1741630 1915793 2018885 2305820 2536402 2976604 3483260 3720755 3831586 4037770 5072804 6341005 7441510 7663172 8075540 8185661 9578965 12682010 14883020 16371322 19157930 25364020 32742644 38315860 40928305 81856610 90042271 163713220 180084542 360169084 450211355 900422710 1800845420