Search a number
-
+
5810838340 = 2251728160821
BaseRepresentation
bin1010110100101101…
…00101101101000100
3112222222010011122211
411122112211231010
543400033311330
62400334233204
7263666211436
oct53226455504
915888104584
105810838340
11251208093a
121162055804
13717b37aa8
143d1a4c656
1524021ed2a
hex15a5a5b44

5810838340 has 48 divisors (see below), whose sum is σ = 12966763824. Its totient is φ = 2179788800.

The previous prime is 5810838337. The next prime is 5810838367. The reversal of 5810838340 is 438380185.

It can be written as a sum of positive squares in 8 ways, for example, as 207417604 + 5603420736 = 14402^2 + 74856^2 .

It is a super-2 number, since 2×58108383402 = 67531684427227911200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5810838293 and 5810838302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65130 + ... + 125950.

It is an arithmetic number, because the mean of its divisors is an integer number (270140913).

Almost surely, 25810838340 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 5810838340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483381912).

5810838340 is an abundant number, since it is smaller than the sum of its proper divisors (7155925484).

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

5810838340 is a wasteful number, since it uses less digits than its factorization.

5810838340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61128 (or 61126 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 5810838340 is about 76228.8550353473. The cubic root of 5810838340 is about 1797.8202359003.

The spelling of 5810838340 in words is "five billion, eight hundred ten million, eight hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 281 340 562 1124 1405 2810 4777 5620 9554 19108 23885 47770 60821 95540 121642 243284 304105 608210 1033957 1216420 2067914 4135828 5169785 10339570 17090701 20679140 34181402 68362804 85453505 170907010 290541917 341814020 581083834 1162167668 1452709585 2905419170 5810838340