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114182838 = 23372113923
BaseRepresentation
bin1101100111001…
…00101010110110
321221212002102000
412303210222312
5213212322323
615155200130
72554352400
oct663445266
9257762360
10114182838
11594a9290
12322a6046
131a86b213
1411243b70
15a056e43
hex6ce4ab6

114182838 has 96 divisors (see below), whose sum is σ = 322081920. Its totient is φ = 29650320.

The previous prime is 114182819. The next prime is 114182843. The reversal of 114182838 is 838281411.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27145 + ... + 31067.

It is an arithmetic number, because the mean of its divisors is an integer number (3355020).

Almost surely, 2114182838 is an apocalyptic number.

114182838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114182838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161040960).

114182838 is an abundant number, since it is smaller than the sum of its proper divisors (207899082).

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

114182838 is a wasteful number, since it uses less digits than its factorization.

114182838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3946 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 114182838 is about 10685.6369955188. The cubic root of 114182838 is about 485.1398441814.

The spelling of 114182838 in words is "one hundred fourteen million, one hundred eighty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3234 3923 4158 4851 7846 9702 11769 14553 23538 27461 29106 35307 43153 54922 70614 82383 86306 105921 129459 164766 192227 211842 247149 258918 302071 384454 388377 494298 576681 604142 741447 776754 906213 1153362 1165131 1482894 1730043 1812426 2114497 2330262 2718639 3460086 4228994 5190129 5437278 6343491 8155917 10380258 12686982 16311834 19030473 38060946 57091419 114182838