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1820810012 = 227379107157
BaseRepresentation
bin110110010000111…
…0101101100011100
311200220011201202212
41230201311230130
512212111410022
6500402135552
763056426000
oct15441655434
94626151685
101820810012
1185488856a
124299515b8
132302c8098
14133b72700
15a9cb93e2
hex6c875b1c

1820810012 has 96 divisors (see below), whose sum is σ = 3822336000. Its totient is φ = 758407104.

The previous prime is 1820809967. The next prime is 1820810039. The reversal of 1820810012 is 2100180281.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1820810012.

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, 11597438 + ... + 11597594.

It is an arithmetic number, because the mean of its divisors is an integer number (39816000).

Almost surely, 21820810012 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 1820810012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911168000).

1820810012 is an abundant number, since it is smaller than the sum of its proper divisors (2001525988).

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

1820810012 is a wasteful number, since it uses less digits than its factorization.

1820810012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 1820810012 is about 42670.9504464103. The cubic root of 1820810012 is about 1221.1102524174.

Adding to 1820810012 its reverse (2100180281), we get a palindrome (3920990293).

The spelling of 1820810012 in words is "one billion, eight hundred twenty million, eight hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 49 79 98 107 157 158 196 214 314 316 343 428 553 628 686 749 1099 1106 1372 1498 2198 2212 2996 3871 4396 5243 7693 7742 8453 10486 12403 15386 15484 16799 16906 20972 24806 27097 30772 33598 33812 36701 49612 53851 54194 59171 67196 73402 86821 107702 108388 117593 118342 146804 173642 215404 235186 236684 347284 414197 470372 607747 823151 828394 1215494 1327121 1646302 1656788 2430988 2654242 2899379 3292604 4254229 5308484 5762057 5798758 8508458 9289847 11524114 11597516 17016916 18579694 23048228 37159388 65028929 130057858 260115716 455202503 910405006 1820810012