Search a number
-
+
684742113 = 331129107743
BaseRepresentation
bin101000110100000…
…101010111100001
31202201110111121000
4220310011113201
52400243221423
6151540222213
722653132456
oct5064052741
91681414530
10684742113
11321578980
1217139a969
13abb29563
1466d2582d
15401ab843
hex28d055e1

684742113 has 64 divisors (see below), whose sum is σ = 1157068800. Its totient is φ = 396406080.

The previous prime is 684742111. The next prime is 684742129. The reversal of 684742113 is 311247486.

It is not a de Polignac number, because 684742113 - 21 = 684742111 is a prime.

It is a super-2 number, since 2×6847421132 = 937743522631409538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (684742111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921220 + ... + 921962.

It is an arithmetic number, because the mean of its divisors is an integer number (18079200).

Almost surely, 2684742113 is an apocalyptic number.

It is an amenable number.

684742113 is a deficient number, since it is larger than the sum of its proper divisors (472326687).

684742113 is a wasteful number, since it uses less digits than its factorization.

684742113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 684742113 is about 26167.5775149325. The cubic root of 684742113 is about 881.4053444571.

Adding to 684742113 its reverse (311247486), we get a palindrome (995989599).

The spelling of 684742113 in words is "six hundred eighty-four million, seven hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 29 33 87 99 107 261 297 319 321 743 783 957 963 1177 2229 2871 2889 3103 3531 6687 8173 8613 9309 10593 20061 21547 24519 27927 31779 34133 64641 73557 79501 83781 102399 193923 220671 237017 238503 307197 581769 711051 715509 874511 921591 2133153 2146527 2305529 2623533 6399459 6916587 7870599 20749761 23611797 25360819 62249283 76082457 228247371 684742113