mod = 1000000007
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

    def digit_sum(n, k):
        ret = 0
        while n:
            ret = (ret + n % k)%mod
            n //= k
        return ret

    N = int(input())

    """
    # gutyoku
    ans_ = 0
    for i in range(2, N+1):
        ans_ = (ans_ + digit_sum(N, i))%mod
    print(ans_)
    """


    inv_2 = (mod + 1)//2
    ans = 0
    ii = -1
    for i in range(2, N+1):
        if i * i > N:
            ii = i - 1
            break
        ans = (ans + digit_sum(N, i))%mod
    if ii > 0:
        j_min = ii + 1
        for i in range(ii - 1, 0, -1):
            j_max = N // i
            L = j_max - j_min + 1
            ans = (ans + i * L)%mod
            ans = (ans + (((N - i * j_min) + (N - i * j_max))%mod * (L * inv_2)%mod)%mod)%mod
            j_min = j_max + 1
    print(ans)


if __name__ == '__main__':
    main()