from collections import defaultdict from functools import lru_cache import sys sys.setrecursionlimit(50000000) def prime_list(n): is_prime = [0] * (n + 1) #素数かどうか。1なら素数。 is_prime[2] = 1 for i in range(3, n + 1, 2): is_prime[i] = 1 for i in range(2, int(n ** 0.5) + 1): if is_prime[i]: for j in range(i * i, n + 1, 2 * i): is_prime[j] = 0 #最後に全部並べる。 d = [] for j in range(n + 1): if is_prime[j] == 1: d.append(j) return d, is_prime def main(): dic = defaultdict(list) MAX = pow(10,5) + 100 L,dummy = prime_list(MAX) for i in L: a = i while a <= MAX: dic[a].append(i) a += i #print(dic) M = int(input()); MOD = pow(10,9) + 7 @lru_cache(maxsize=None) def solve(p,dic=dic,MOD=MOD): if p == 1: return 1 if p == 2: return 2 ret = solve(p-1) #print(p,ret) n = len(dic[p]) #print(dic[p]) for i in range(1,1<>j)&1 == 1: val *= dic[p][j] ppcnt += 1 if ppcnt%2 == 1: ret += solve(p//val) else: ret -= solve(p//val) ret %= MOD return ret%MOD print(solve(M)%MOD) if __name__ == '__main__': main()