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1812320370 = 232572616737
BaseRepresentation
bin110110000000101…
…1101000001110010
311200022012102011200
41230001131001302
512202423222440
6455500152030
762624316600
oct15401350162
94608172150
101812320370
1185000a133
12426b38616
1322b614b23
141329a2870
15a918dc30
hex6c05d072

1812320370 has 144 divisors (see below), whose sum is σ = 5572029528. Its totient is φ = 407393280.

The previous prime is 1812320327. The next prime is 1812320371. The reversal of 1812320370 is 730232181.

It can be written as a sum of positive squares in 4 ways, for example, as 951660801 + 860659569 = 30849^2 + 29337^2 .

It is not an unprimeable number, because it can be changed into a prime (1812320371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265642 + ... + 272378.

Almost surely, 21812320370 is an apocalyptic number.

1812320370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1812320370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786014764).

1812320370 is an abundant number, since it is smaller than the sum of its proper divisors (3759709158).

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

1812320370 is a wasteful number, since it uses less digits than its factorization.

1812320370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1812320370 is about 42571.3562151830. The cubic root of 1812320370 is about 1219.2094605320.

The spelling of 1812320370 in words is "one billion, eight hundred twelve million, three hundred twenty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 61 63 70 90 98 105 122 126 147 183 210 245 294 305 315 366 427 441 490 549 610 630 735 854 882 915 1098 1281 1470 1830 2135 2205 2562 2745 2989 3843 4270 4410 5490 5978 6405 6737 7686 8967 12810 13474 14945 17934 19215 20211 26901 29890 33685 38430 40422 44835 47159 53802 60633 67370 89670 94318 101055 121266 134505 141477 202110 235795 269010 282954 303165 330113 410957 424431 471590 606330 660226 707385 821914 848862 990339 1232871 1414770 1650565 1980678 2054785 2122155 2465742 2876699 2971017 3301130 3698613 4109570 4244310 4951695 5753398 5942034 6164355 7397226 8630097 9903390 12328710 14383495 14855085 17260194 18493065 20136893 25890291 28766990 29710170 36986130 40273786 43150485 51780582 60410679 86300970 100684465 120821358 129451455 181232037 201368930 258902910 302053395 362464074 604106790 906160185 1812320370