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1327105134 = 2362931387
BaseRepresentation
bin100111100011010…
…0000010001101110
310102111011221000000
41033012200101232
510204214331014
6335404245130
744613131115
oct11706402156
93374157000
101327105134
11621130803
123105407a6
13181c38414
14c8378c7c
157b796509
hex4f1a046e

1327105134 has 56 divisors (see below), whose sum is σ = 3087637560. Its totient is φ = 427100688.

The previous prime is 1327105127. The next prime is 1327105139. The reversal of 1327105134 is 4315017231.

1327105134 is a `hidden beast` number, since 132 + 7 + 10 + 513 + 4 = 666.

It is a super-2 number, since 2×13271051342 = 3522416073378315912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1327105098 and 1327105107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327105139) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26589 + ... + 57975.

It is an arithmetic number, because the mean of its divisors is an integer number (55136385).

Almost surely, 21327105134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327105134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543818780).

1327105134 is an abundant number, since it is smaller than the sum of its proper divisors (1760532426).

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

1327105134 is an equidigital number, since it uses as much as digits as its factorization.

1327105134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31436 (or 31421 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1327105134 is about 36429.4542094718. The cubic root of 1327105134 is about 1098.9259858589.

The spelling of 1327105134 in words is "one billion, three hundred twenty-seven million, one hundred five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 729 783 1458 1566 2349 4698 7047 14094 21141 31387 42282 62774 94161 188322 282483 564966 847449 910223 1694898 1820446 2542347 2730669 5084694 5461338 7627041 8192007 15254082 16384014 22881123 24576021 45762246 49152042 73728063 147456126 221184189 442368378 663552567 1327105134