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1327268012 = 227596113171
BaseRepresentation
bin100111100011100…
…1000000010101100
310102111111012102112
41033013020002230
510204240034022
6335411543152
744614410020
oct11707100254
93374435375
101327268012
11621232114
123105baab8
13181c945b5
14c83bc380
157b7c98e2
hex4f1c80ac

1327268012 has 48 divisors (see below), whose sum is σ = 2743991040. Its totient is φ = 549979200.

The previous prime is 1327267999. The next prime is 1327268053. The reversal of 1327268012 is 2108627231.

It is a super-3 number, since 3×13272680123 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1327268012.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 94187 + ... + 107357.

It is an arithmetic number, because the mean of its divisors is an integer number (57166480).

Almost surely, 21327268012 is an apocalyptic number.

It is an amenable number.

1327268012 is an abundant number, since it is smaller than the sum of its proper divisors (1416723028).

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

1327268012 is a wasteful number, since it uses less digits than its factorization.

1327268012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1327268012 is about 36431.6896671016. The cubic root of 1327268012 is about 1098.9709417407.

The spelling of 1327268012 in words is "one billion, three hundred twenty-seven million, two hundred sixty-eight thousand, twelve".

Divisors: 1 2 4 7 14 28 59 61 118 122 236 244 413 427 826 854 1652 1708 3599 7198 13171 14396 25193 26342 50386 52684 92197 100772 184394 368788 777089 803431 1554178 1606862 3108356 3213724 5439623 5624017 10879246 11248034 21758492 22496068 47402429 94804858 189609716 331817003 663634006 1327268012