mod=10**9+7

n=int(input())
ans=0
for i in range(2,int(n**0.5)+1):
    tn=n
    while tn!=0:
        ans+=tn%i
        tn//=i
    ans%=mod
for i in range(1,int(n**0.5)+1):
    l=n//(i+1)+1
    r=n//i
    ans+=i*(r-l+1)
    ans+=i*(((r-l)*(r-l+1))//2)+(n%r)*(r-l+1)
    ans%=mod
print(ans)