Search a number
-
+
116757774 = 2347195419
BaseRepresentation
bin1101111010110…
…01010100001110
322010200220120000
412331121110032
5214342222044
615330305130
72615265450
oct675312416
9263626500
10116757774
115a9a7931
12331281a6
131b260253
14117142d0
15a3b4d69
hex6f5950e

116757774 has 80 divisors (see below), whose sum is σ = 314793600. Its totient is φ = 31597776.

The previous prime is 116757743. The next prime is 116757827. The reversal of 116757774 is 477757611.

116757774 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 577 + 74 = 666.

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 39 ways as a sum of consecutive naturals, for example, 18837 + ... + 24255.

It is an arithmetic number, because the mean of its divisors is an integer number (3934920).

Almost surely, 2116757774 is an apocalyptic number.

116757774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116757774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396800).

116757774 is an abundant number, since it is smaller than the sum of its proper divisors (198035826).

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

116757774 is a wasteful number, since it uses less digits than its factorization.

116757774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5450 counting only the distinct ones).

The product of its digits is 288120, while the sum is 45.

The square root of 116757774 is about 10805.4511243168. The cubic root of 116757774 is about 488.7595641363.

The spelling of 116757774 in words is "one hundred sixteen million, seven hundred fifty-seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 5419 7182 10773 10838 16257 21546 32514 37933 48771 75866 97542 102961 113799 146313 205922 227598 292626 308883 341397 438939 617766 682794 720727 877878 926649 1024191 1441454 1853298 2048382 2162181 2779947 3072573 4324362 5559894 6145146 6486543 8339841 12973086 16679682 19459629 38919258 58378887 116757774