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8960 = 2857
BaseRepresentation
bin10001100000000
3110021212
42030000
5241320
6105252
735060
oct21400
913255
108960
116806
125228
134103
1433a0
1529c5
hex2300

8960 has 36 divisors (see below), whose sum is σ = 24528. Its totient is φ = 3072.

The previous prime is 8951. The next prime is 8963. The reversal of 8960 is 698.

It is not an unprimeable number, because it can be changed into a prime (8963) by changing a digit.

8960 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277 + ... + 1283.

28960 is an apocalyptic number.

8960 is a gapful number since it is divisible by the number (80) 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 8960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264).

8960 is an abundant number, since it is smaller than the sum of its proper divisors (15568).

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

8960 is an equidigital number, since it uses as much as digits as its factorization.

8960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 8960 is about 94.6572765296. The cubic root of 8960 is about 20.7699764074.

The spelling of 8960 in words is "eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960