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5980 = 2251323
BaseRepresentation
bin1011101011100
322012111
41131130
5142410
643404
723302
oct13534
98174
105980
114547
123564
132950
142272
151b8a
hex175c

5980 has 24 divisors (see below), whose sum is σ = 14112. Its totient is φ = 2112.

The previous prime is 5953. The next prime is 5981. The reversal of 5980 is 895.

5980 = T3 + T4 + ... + T32.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

25980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056).

5980 is an abundant number, since it is smaller than the sum of its proper divisors (8132).

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

5980 is a wasteful number, since it uses less digits than its factorization.

5980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 5980 is about 77.3304597167. The cubic root of 5980 is about 18.1509932243.

It can be divided in two parts, 5 and 980, that multiplied together give a square (4900 = 702).

The spelling of 5980 in words is "five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980