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960 = 2635
BaseRepresentation
bin1111000000
31022120
433000
512320
64240
72541
oct1700
91276
10960
117a3
12680
1358b
144c8
15440
hex3c0

960 has 28 divisors (see below), whose sum is σ = 3048. Its totient is φ = 256.

The previous prime is 953. The next prime is 967. The reversal of 960 is 69.

Multipling 960 by its sum of digits (15), we get a square (14400 = 1202).

960 divided by its sum of digits (15) gives a 6-th power (64 = 26).

960 = 62 + 72 + ... + 142.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)3.

It is a Cunningham number, because it is equal to 312-1.

It is an interprime number because it is at equal distance from previous prime (953) and next prime (967).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a nialpdrome in base 2, base 4, base 10 and base 15.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967) by changing a digit.

In principle, a polygon with 960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190 + ... + 194.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524).

960 is an abundant number, since it is smaller than the sum of its proper divisors (2088).

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

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

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

The sum of its prime factors is 20 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 960 is about 30.9838667697. The cubic root of 960 is about 9.8648482973.

The spelling of 960 in words is "nine hundred sixty", and thus it is an aban number and an oban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960