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327960 = 23325911
BaseRepresentation
bin1010000000100011000
3121122212200
41100010120
540443320
611010200
72534103
oct1200430
9548780
10327960
11204446
12139960
13b6379
148773a
1567290
hex50118

327960 has 48 divisors (see below), whose sum is σ = 1067040. Its totient is φ = 87360.

The previous prime is 327953. The next prime is 327967. The reversal of 327960 is 69723.

It is an interprime number because it is at equal distance from previous prime (327953) and next prime (327967).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327960.

It is not an unprimeable number, because it can be changed into a prime (327967) by changing a digit.

327960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2327960 is an apocalyptic number.

327960 is a gapful number since it is divisible by the number (30) 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 327960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533520).

327960 is an abundant number, since it is smaller than the sum of its proper divisors (739080).

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

327960 is a wasteful number, since it uses less digits than its factorization.

327960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 327960 is about 572.6779199515. The cubic root of 327960 is about 68.9615412650.

The spelling of 327960 in words is "three hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 911 1822 2733 3644 4555 5466 7288 8199 9110 10932 13665 16398 18220 21864 27330 32796 36440 40995 54660 65592 81990 109320 163980 327960