def f(x, b):
    ret = 0
    while x > 0:
        ret += x % b
        x //= b
    return ret


p = 10**9 + 7
N = int(input())
ans = 0

L = min(N + 1, 10 ** 6 + 1)
for i in range(2, L):
    ans += f(N, i)
    ans %= p

for a1 in range(1, L):
    r = N // a1
    l = max(L - 1, N // (1 + a1))
    if r - l < 0:
        continue
    ans += (r - l) * a1 % p
    ans += N * (r - l) - a1 * (r - l) * (r + l + 1) // 2 % p
    ans %= p

print(ans)