import sys
def I(): return int(sys.stdin.readline().rstrip())


N = I()
mod = 10**9+7

if N == 3:
    print(0)
    exit()


def f(M):  # (1の約数の個数) + … + (Mの約数の個数)、つまり M//1 + … + M//M
    if M == 0:
        return 0
    res = 0
    for i in range(1,int(M**.5)+1):
        res += M//i
        res %= mod
    res *= 2
    res %= mod
    res -= int(M**.5)**2
    res %= mod
    return res


ans = 0
for x in range(2,int(N**.5)+1):
    y = N//(x+1)
    z = N//x
    ans += (x-1)*(N+1-x)*(z-y)
    ans %= mod
    ans -= (x-1)*(f(z)-f(y))
    ans %= mod

for b in range(1,y+1):
    ans += ((N//b)-1)*(N+1-(N//b)-f(b)+f(b-1))
    ans %= mod

print(ans)