Search a number
-
+
117105696 = 2533237183
BaseRepresentation
bin1101111101011…
…10010000100000
322011100120211000
412332232100200
5214434340241
615341552000
72621245011
oct676562040
9264316730
10117105696
1160115274
1233275600
131b352716
14117a5008
15a432eb6
hex6fae420

117105696 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 36368640.

The previous prime is 117105679. The next prime is 117105701. The reversal of 117105696 is 696501711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117105696.

It is an unprimeable number.

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, 1410871 + ... + 1410953.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2117105696 is an apocalyptic number.

117105696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117105696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

117105696 is an abundant number, since it is smaller than the sum of its proper divisors (248677344).

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

117105696 is a wasteful number, since it uses less digits than its factorization.

117105696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 117105696 is about 10821.5385227795. The cubic root of 117105696 is about 489.2445613222.

The spelling of 117105696 in words is "one hundred seventeen million, one hundred five thousand, six hundred ninety-six".