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2030 = 25729
BaseRepresentation
bin11111101110
32210012
4133232
531110
613222
75630
oct3756
92705
102030
111586
121212
13c02
14a50
15905
hex7ee

2030 has 16 divisors (see below), whose sum is σ = 4320. Its totient is φ = 672.

The previous prime is 2029. The next prime is 2039. The reversal of 2030 is 302.

Adding to 2030 its reverse (302), we get a palindrome (2332).

Subtracting from 2030 its reverse (302), we obtain a cube (1728 = 123).

2030 = 212 + 222 + ... + 242.

It is a happy number.

2030 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (5).

2030 is an undulating number in base 12.

2030 is a modest number, since divided by 30 gives 20 as remainder.

It is a plaindrome in base 16.

It is a nialpdrome in base 5 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039) 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, 56 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

2030 is an abundant number, since it is smaller than the sum of its proper divisors (2290).

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 (2160).

2030 is a wasteful number, since it uses less digits than its factorization.

2030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43.

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 2030 is about 45.0555213043. The cubic root of 2030 is about 12.6618941701.

The spelling of 2030 in words is "two thousand, thirty", and thus it is an eban number.

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 2030