Search a number
-
+
2890960 = 24536137
BaseRepresentation
bin1011000001110011010000
312102212122121
423001303100
51220002320
6141544024
733400312
oct13016320
95385577
102890960
1116a5026
12b75014
137a2b37
145537b2
153c18aa
hex2c1cd0

2890960 has 20 divisors (see below), whose sum is σ = 6721668. Its totient is φ = 1156352.

The previous prime is 2890957. The next prime is 2890961. The reversal of 2890960 is 690982.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 1507984 = 1176^2 + 1228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890961) 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, 17989 + ... + 18148.

22890960 is an apocalyptic number.

2890960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890960 is an abundant number, since it is smaller than the sum of its proper divisors (3830708).

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

2890960 is a wasteful number, since it uses less digits than its factorization.

2890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36150 (or 36144 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2890960 is about 1700.2823294971. The cubic root of 2890960 is about 142.4559831219.

The spelling of 2890960 in words is "two million, eight hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 36137 72274 144548 180685 289096 361370 578192 722740 1445480 2890960