Base | Representation |
---|---|
bin | 1101111110000… |
… | …10010000100000 |
3 | 22011111202012002 |
4 | 12333002100200 |
5 | 220000000431 |
6 | 15343423132 |
7 | 2622035600 |
oct | 677022040 |
9 | 264452162 |
10 | 117187616 |
11 | 60170877 |
12 | 332b4aa8 |
13 | 1b380ab0 |
14 | 117c6c00 |
15 | a44c3cb |
hex | 6fc2420 |
117187616 has 72 divisors (see below), whose sum is σ = 289075500. Its totient is φ = 46351872.
The previous prime is 117187601. The next prime is 117187619. The reversal of 117187616 is 616781711.
It can be written as a sum of positive squares in 2 ways, for example, as 87984400 + 29203216 = 9380^2 + 5404^2 .
It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 117187616.
It is not an unprimeable number, because it can be changed into a prime (117187619) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17510 + ... + 23258.
Almost surely, 2117187616 is an apocalyptic number.
117187616 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 117187616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144537750).
117187616 is an abundant number, since it is smaller than the sum of its proper divisors (171887884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117187616 is a wasteful number, since it uses less digits than its factorization.
117187616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5786 (or 5771 counting only the distinct ones).
The product of its digits is 14112, while the sum is 38.
The square root of 117187616 is about 10825.3229051147. The cubic root of 117187616 is about 489.3586166126.
The spelling of 117187616 in words is "one hundred seventeen million, one hundred eighty-seven thousand, six hundred sixteen".
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