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1327248167 = 7311132479
BaseRepresentation
bin100111100011100…
…0011001100100111
310102111110012012112
41033013003030213
510204233420132
6335411311235
744614265120
oct11707031447
93374405175
101327248167
11621219213
123105ab51b
13181c8855b
14c83b5047
157b7c3ab2
hex4f1c3327

1327248167 has 24 divisors (see below), whose sum is σ = 1583063040. Its totient is φ = 1088922240.

The previous prime is 1327248121. The next prime is 1327248193. The reversal of 1327248167 is 7618427231.

It is not a de Polignac number, because 1327248167 - 214 = 1327231783 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327244167) 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, 2770634 + ... + 2771112.

It is an arithmetic number, because the mean of its divisors is an integer number (65960960).

Almost surely, 21327248167 is an apocalyptic number.

1327248167 is a deficient number, since it is larger than the sum of its proper divisors (255814873).

1327248167 is an equidigital number, since it uses as much as digits as its factorization.

1327248167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 630 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 1327248167 is about 36431.4173070442. The cubic root of 1327248167 is about 1098.9654645282.

The spelling of 1327248167 in words is "one billion, three hundred twenty-seven million, two hundred forty-eight thousand, one hundred sixty-seven".

Divisors: 1 7 31 113 217 479 791 3353 3503 12769 14849 24521 54127 89383 103943 378889 395839 1677937 2770873 6116351 11745559 42814457 189606881 1327248167