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5960 = 235149
BaseRepresentation
bin1011101001000
322011202
41131020
5142320
643332
723243
oct13510
98152
105960
114529
123548
132936
14225a
151b75
hex1748

5960 has 16 divisors (see below), whose sum is σ = 13500. Its totient is φ = 2368.

The previous prime is 5953. The next prime is 5981. The reversal of 5960 is 695.

It can be written as a sum of positive squares in 2 ways, for example, as 5476 + 484 = 74^2 + 22^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 114.

25960 is an apocalyptic number.

It is an amenable number.

5960 is an abundant number, since it is smaller than the sum of its proper divisors (7540).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750).

5960 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (5959) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (160).

5960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5960 is about 77.2010362625. The cubic root of 5960 is about 18.1307354025.

The spelling of 5960 in words is "five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960