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2040 = 233517
BaseRepresentation
bin11111111000
32210120
4133320
531130
613240
75643
oct3770
92716
102040
111595
121220
13c0c
14a5a
15910
hex7f8

2040 has 32 divisors (see below), whose sum is σ = 6480. Its totient is φ = 512.

The previous prime is 2039. The next prime is 2053. The reversal of 2040 is 402.

Adding to 2040 its reverse (402), we get a palindrome (2442).

2040 = T15 + T16 + ... + T24.

2040 is nontrivially palindromic in base 13 and base 14.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

2040 is an undulating number in base 13 and base 14.

It is a nialpdrome in base 2 and base 15.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 17 × 15 × 8.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 2040 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, 112 + ... + 128.

2040 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 2040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240).

2040 is an abundant number, since it is smaller than the sum of its proper divisors (4440).

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

2040 is a wasteful number, since it uses less digits than its factorization.

2040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2040 is about 45.1663591625. The cubic root of 2040 is about 12.6826514108.

The spelling of 2040 in words is "two thousand, forty", and thus it is an eban number and an iban number.

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