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4080 = 243517
BaseRepresentation
bin111111110000
312121010
4333300
5112310
630520
714616
oct7760
95533
104080
11307a
122440
131b1b
1416b6
151320
hexff0

4080 has 40 divisors (see below), whose sum is σ = 13392. Its totient is φ = 1024.

The previous prime is 4079. The next prime is 4091. The reversal of 4080 is 804.

Adding to 4080 its reverse (804), we get a palindrome (4884).

It can be divided in two parts, 40 and 80, that added together give a triangular number (120 = T15).

4080 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

4080 is an undulating number in base 13.

It is a nialpdrome in base 2, base 4, base 8, base 9 and base 16.

It is a zygodrome in base 2, base 4 and base 9.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 4080 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 248.

24080 is an apocalyptic number.

4080 is a gapful number since it is divisible by the number (40) 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 4080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696).

4080 is an abundant number, since it is smaller than the sum of its proper divisors (9312).

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

4080 is a wasteful number, since it uses less digits than its factorization.

4080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4080 is about 63.8748776907. The cubic root of 4080 is about 15.9791394809.

The spelling of 4080 in words is "four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080