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1327468041 = 33192639839
BaseRepresentation
bin100111100011111…
…1000111000001001
310102111212100211000
41033013320320021
510204312434131
6335420125213
744616202134
oct11707707011
93374770730
101327468041
11621359429
12310696809
13182034663
14c843121b
157b818ce6
hex4f1f8e09

1327468041 has 32 divisors (see below), whose sum is σ = 2078208000. Its totient is φ = 835128144.

The previous prime is 1327468033. The next prime is 1327468073. The reversal of 1327468041 is 1408647231.

It is not a de Polignac number, because 1327468041 - 23 = 1327468033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1327467987 and 1327468005.

It is not an unprimeable number, because it can be changed into a prime (1327468741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130000 + ... + 139838.

It is an arithmetic number, because the mean of its divisors is an integer number (64944000).

Almost surely, 21327468041 is an apocalyptic number.

It is an amenable number.

1327468041 is a deficient number, since it is larger than the sum of its proper divisors (750739959).

1327468041 is a wasteful number, since it uses less digits than its factorization.

1327468041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1327468041 is about 36434.4348247643. The cubic root of 1327468041 is about 1099.0261466213.

The spelling of 1327468041 in words is "one billion, three hundred twenty-seven million, four hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 19 27 57 171 263 513 789 2367 4997 7101 9839 14991 29517 44973 88551 134919 186941 265653 560823 1682469 2587657 5047407 7762971 23288913 49165483 69866739 147496449 442489347 1327468041