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114114684 = 223192347463
BaseRepresentation
bin1101100110101…
…00000001111100
321221201121220210
412303110001330
5213203132214
615153512420
72553646605
oct663240174
9257647823
10114114684
1159462062
1232272710
131a8461a8
1411226dac
15a041b59
hex6cd407c

114114684 has 96 divisors (see below), whose sum is σ = 299335680. Its totient is φ = 33663168.

The previous prime is 114114683. The next prime is 114114709. The reversal of 114114684 is 486411411.

It is a super-2 number, since 2×1141146842 = 26044322208839712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114683) 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 31 ways as a sum of consecutive naturals, for example, 246237 + ... + 246699.

It is an arithmetic number, because the mean of its divisors is an integer number (3118080).

Almost surely, 2114114684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114114684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149667840).

114114684 is an abundant number, since it is smaller than the sum of its proper divisors (185220996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114114684 is a wasteful number, since it uses less digits than its factorization.

114114684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 114114684 is about 10682.4474723726. The cubic root of 114114684 is about 485.0433007714.

The spelling of 114114684 in words is "one hundred fourteen million, one hundred fourteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 47 57 69 76 92 94 114 138 141 188 228 276 282 437 463 564 874 893 926 1081 1311 1389 1748 1786 1852 2162 2622 2679 2778 3243 3572 4324 5244 5358 5556 6486 8797 10649 10716 12972 17594 20539 21298 21761 26391 31947 35188 41078 42596 43522 52782 61617 63894 65283 82156 87044 105564 123234 127788 130566 202331 246468 261132 404662 413459 500503 606993 809324 826918 1001006 1213986 1240377 1501509 1653836 2002012 2427972 2480754 3003018 4961508 6006036 9509557 19019114 28528671 38038228 57057342 114114684