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2920 = 23573
BaseRepresentation
bin101101101000
311000011
4231220
543140
621304
711341
oct5550
94004
102920
112215
121834
131438
1410c8
15cea
hexb68

2920 has 16 divisors (see below), whose sum is σ = 6660. Its totient is φ = 1152.

The previous prime is 2917. The next prime is 2927. The reversal of 2920 is 292.

2920 = T19 + T20 + ... + T28.

2920 is nontrivially palindromic in base 3 and base 9.

2920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 4 = 54^2 + 2^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2920.

It is not an unprimeable number, because it can be changed into a prime (2927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 76.

2920 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 2920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330).

2920 is an abundant number, since it is smaller than the sum of its proper divisors (3740).

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

2920 is a wasteful number, since it uses less digits than its factorization.

2920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2920 is about 54.0370243444. The cubic root of 2920 is about 14.2931389976.

Subtracting from 2920 its reverse (292), we obtain a triangular number (2628 = T72).

It can be divided in two parts, 29 and 20, that added together give a square (49 = 72).

The spelling of 2920 in words is "two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920