Search a number
-
+
5803840 = 26572591
BaseRepresentation
bin10110001000111101000000
3101220212101001
4112020331000
52441210330
6324221344
7100221550
oct26107500
911825331
105803840
113304569
121b3a854
131282933
14ab1160
157999ca
hex588f40

5803840 has 56 divisors (see below), whose sum is σ = 15800832. Its totient is φ = 1989120.

The previous prime is 5803823. The next prime is 5803841. The reversal of 5803840 is 483085.

5803840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5803799 and 5803808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5803841) 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, 945 + ... + 3535.

Almost surely, 25803840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416).

5803840 is an abundant number, since it is smaller than the sum of its proper divisors (9996992).

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

5803840 is a wasteful number, since it uses less digits than its factorization.

5803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5803840 is about 2409.1160204523. The cubic root of 5803840 is about 179.7098205165.

The spelling of 5803840 in words is "five million, eight hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 2591 5182 10364 12955 18137 20728 25910 36274 41456 51820 72548 82912 90685 103640 145096 165824 181370 207280 290192 362740 414560 580384 725480 829120 1160768 1450960 2901920 5803840