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117092766 = 23731139647
BaseRepresentation
bin1101111101010…
…11000110011110
322011022221002010
412332223012132
5214433432031
615341412050
72621162220
oct676530636
9264287063
10117092766
116010658a
123326a026
131b34987b
14117a0410
15a42e246
hex6fab19e

117092766 has 64 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 32093280.

The previous prime is 117092743. The next prime is 117092771. The reversal of 117092766 is 667290711.

It is a super-3 number, since 3×1170927663 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180655 + ... + 181301.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2117092766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117092766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

117092766 is an abundant number, since it is smaller than the sum of its proper divisors (161599074).

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

117092766 is a wasteful number, since it uses less digits than its factorization.

117092766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 117092766 is about 10820.9410866153. The cubic root of 117092766 is about 489.2265543273.

The spelling of 117092766 in words is "one hundred seventeen million, ninety-two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 139 186 217 278 417 434 647 651 834 973 1294 1302 1941 1946 2919 3882 4309 4529 5838 8618 9058 12927 13587 20057 25854 27174 30163 40114 60171 60326 89933 90489 120342 140399 179866 180978 269799 280798 421197 539598 629531 842394 1259062 1888593 2787923 3777186 5575846 8363769 16727538 19515461 39030922 58546383 117092766