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1820412081 = 32614018269
BaseRepresentation
bin110110010000001…
…0100100010110001
311200212102111220200
41230200110202301
512212011141311
6500345425413
763053150565
oct15440244261
94625374820
101820412081
118546365a4
1242979b269
132301b8c17
14133aab6a5
15a9c3b556
hex6c8148b1

1820412081 has 24 divisors (see below), whose sum is σ = 2679579240. Its totient is φ = 1190592000.

The previous prime is 1820412047. The next prime is 1820412107. The reversal of 1820412081 is 1802140281.

It can be written as a sum of positive squares in 4 ways, for example, as 724471056 + 1095941025 = 26916^2 + 33105^2 .

It is not a de Polignac number, because 1820412081 - 29 = 1820411569 is a prime.

It is a super-2 number, since 2×18204120812 = 6627800289301501122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1820412281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216015 + ... + 224283.

It is an arithmetic number, because the mean of its divisors is an integer number (111649135).

Almost surely, 21820412081 is an apocalyptic number.

It is an amenable number.

1820412081 is a deficient number, since it is larger than the sum of its proper divisors (859167159).

1820412081 is a wasteful number, since it uses less digits than its factorization.

1820412081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1820412081 is about 42666.2874058665. The cubic root of 1820412081 is about 1221.0212896255.

The spelling of 1820412081 in words is "one billion, eight hundred twenty million, four hundred twelve thousand, eighty-one".

Divisors: 1 3 9 61 183 401 549 1203 3609 8269 24461 24807 73383 74421 220149 504409 1513227 3315869 4539681 9947607 29842821 202268009 606804027 1820412081