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1327807312 = 241321812713
BaseRepresentation
bin100111100100100…
…1011101101010000
310102112111121012121
41033021023231100
510204404313222
6335431304024
744622114226
oct11711135520
93375447177
101327807312
11621570317
1231081b014
13182122c00
14c84bcb16
157b8845c7
hex4f24bb50

1327807312 has 60 divisors (see below), whose sum is σ = 2802167004. Its totient is φ = 609223680.

The previous prime is 1327807309. The next prime is 1327807337. The reversal of 1327807312 is 2137087231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 197233936 + 1130573376 = 14044^2 + 33624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488068 + ... + 490780.

Almost surely, 21327807312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327807312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401083502).

1327807312 is an abundant number, since it is smaller than the sum of its proper divisors (1474359692).

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

1327807312 is a wasteful number, since it uses less digits than its factorization.

1327807312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 1327807312 is about 36439.0904387033. The cubic root of 1327807312 is about 1099.1197674411.

The spelling of 1327807312 in words is "one billion, three hundred twenty-seven million, eight hundred seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 169 181 208 338 362 676 724 1352 1448 2353 2704 2713 2896 4706 5426 9412 10852 18824 21704 30589 35269 37648 43408 61178 70538 122356 141076 244712 282152 458497 489424 491053 564304 916994 982106 1833988 1964212 3667976 3928424 6383689 7335952 7856848 12767378 25534756 51069512 82987957 102139024 165975914 331951828 663903656 1327807312