n = int(input())
mod = 10 ** 9 + 7

ans = 0
j = 2
for i in range(2, int(n ** .5) + 1):
    now = n
    while now > 0:
        ans += now % i
        now //= i
    ans += now
    ans %= mod
    j = i + 1
    
while j <= n:
    m = n // j
    r = n // m
    ans += n * (r - j + 1) - (j - 1 + r - 1) * (r - j + 1) // 2 * m % mod
    ans %= mod
    j = r + 1
print(ans)