You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.

Constraints

* 1≤N≤10^3

Input

The input is given from Standard Input in the following format:


N


Output

Print the number of the positive divisors of N!, modulo 10^9+7.

Examples

Input

3


Output

4


Input

6


Output

30


Input

1000


Output

972926972
import java.util.Arrays;
import java.util.Scanner;
import java.util.stream.IntStream;

/**
 * 解説通り実装したソースコード
 */
public class Main {

	/** 1000までの素数一覧 */
	private static final int[] PRIMES = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
			73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181,
			191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307,
			311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433,
			439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571,
			577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701,
			709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853,
			857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 };
	private static final long MOD = 1_000_000_007L;

	public static void main(String[] args) {
		try (Scanner scanner = new Scanner(System.in)) {
			int n = scanner.nextInt();
			int[] counts = new int[PRIMES.length];
			Arrays.fill(counts, 0);
			IntStream.rangeClosed(2, n).forEach(i -> {
				int x = i;
				while (x > 1) {
					for (int j = 0; j < PRIMES.length; j++) {
						if (0 == (x % PRIMES[j])) {
							x /= PRIMES[j];
							counts[j]++;
							break;
						}
					}
				}
			});
			long result = 1L;
			for (int count : counts) {
				result = result * (count + 1) % MOD;
			}
			System.out.println(result);
		}
	}
}
