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


N = I()
M = int(N**.5)
mod = 10**9+7

# Nのi進表記の桁和の総和

ans = 0
for i in range(2,M+1):
    a = N
    while a:
        ans += a % i
        a -= a % i
        a //= i
    ans %= mod

# N == q*i+r

for q in range(1,M+1):
    low,high = max(N//(q+1),M),N//q  # low < i <= high
    ans += (N+q)*(high-low)-q*(high*(high+1)//2-low*(low+1)//2)
    ans %= mod

print(ans)