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2960 = 24537
BaseRepresentation
bin101110010000
311001122
4232100
543320
621412
711426
oct5620
94048
102960
112251
121868
131469
141116
15d25
hexb90

2960 has 20 divisors (see below), whose sum is σ = 7068. Its totient is φ = 1152.

The previous prime is 2957. The next prime is 2963. The reversal of 2960 is 692.

2960 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (2957) and next prime (2963).

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 1024 = 44^2 + 32^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 5 and base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 62 + ... + 98.

22960 is an apocalyptic number.

2960 is a gapful number since it is divisible by the number (20) 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 2960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534).

2960 is an abundant number, since it is smaller than the sum of its proper divisors (4108).

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

2960 is a wasteful number, since it uses less digits than its factorization.

2960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2960 is about 54.4058820349. The cubic root of 2960 is about 14.3581087041.

The spelling of 2960 in words is "two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960