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1327872120 = 233517961819
BaseRepresentation
bin100111100100101…
…1011100001111000
310102112121220002220
41033021123201320
510204413401440
6335432524040
744622504201
oct11711334170
93375556086
101327872120
11621604a83
12310850620
13182146563
14c84d85a8
157b8988d0
hex4f25b878

1327872120 has 64 divisors (see below), whose sum is σ = 4005936000. Its totient is φ = 352115328.

The previous prime is 1327872103. The next prime is 1327872137. The reversal of 1327872120 is 212787231.

1327872120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1327872103) and next prime (1327872137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9430 + ... + 52389.

It is an arithmetic number, because the mean of its divisors is an integer number (62592750).

Almost surely, 21327872120 is an apocalyptic number.

1327872120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002968000).

1327872120 is an abundant number, since it is smaller than the sum of its proper divisors (2678063880).

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

1327872120 is a wasteful number, since it uses less digits than its factorization.

1327872120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62012 (or 62008 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1327872120 is about 36439.9796926398. The cubic root of 1327872120 is about 1099.1376492011.

The spelling of 1327872120 in words is "one billion, three hundred twenty-seven million, eight hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 10740 21480 61819 123638 185457 247276 309095 370914 494552 618190 741828 927285 1236380 1483656 1854570 2472760 3709140 7418280 11065601 22131202 33196803 44262404 55328005 66393606 88524808 110656010 132787212 165984015 221312020 265574424 331968030 442624040 663936060 1327872120