Search a number
-
+
2689903760 = 24533623797
BaseRepresentation
bin1010000001010100…
…1010110010010000
320221110112021021012
42200111022302100
521002103410020
61122525550052
7123441543005
oct24025126220
96843467235
102689903760
111160420565
12630a15328
1333b39013b
141b73658ac
1510b23d7c5
hexa054ac90

2689903760 has 20 divisors (see below), whose sum is σ = 6254026428. Its totient is φ = 1075961472.

The previous prime is 2689903717. The next prime is 2689903771. The reversal of 2689903760 is 673099862.

It can be written as a sum of positive squares in 2 ways, for example, as 2063703184 + 626200576 = 45428^2 + 25024^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2689903699 and 2689903708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16811819 + ... + 16811978.

Almost surely, 22689903760 is an apocalyptic number.

2689903760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2689903760 is an abundant number, since it is smaller than the sum of its proper divisors (3564122668).

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

2689903760 is a wasteful number, since it uses less digits than its factorization.

2689903760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33623810 (or 33623804 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 2689903760 is about 51864.2821217068. The cubic root of 2689903760 is about 1390.7388305154.

The spelling of 2689903760 in words is "two billion, six hundred eighty-nine million, nine hundred three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 33623797 67247594 134495188 168118985 268990376 336237970 537980752 672475940 1344951880 2689903760