Base | Representation |
---|---|
bin | 1101111111110… |
… | …10100000000000 |
3 | 22011221110012020 |
4 | 12333322200000 |
5 | 220024333414 |
6 | 15352401440 |
7 | 2624015325 |
oct | 677724000 |
9 | 264843166 |
10 | 117417984 |
11 | 60308962 |
12 | 333a6280 |
13 | 1b4318c8 |
14 | 11846b4c |
15 | a4957a9 |
hex | 6ffa800 |
117417984 has 96 divisors (see below), whose sum is σ = 324324000. Its totient is φ = 37732352.
The previous prime is 117417959. The next prime is 117417991. The reversal of 117417984 is 489714711.
It is a tau number, because it is divible by the number of its divisors (96).
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 7 ways as a sum of consecutive naturals, for example, 177847 + ... + 178505.
It is an arithmetic number, because the mean of its divisors is an integer number (3378375).
Almost surely, 2117417984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 117417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162000).
117417984 is an abundant number, since it is smaller than the sum of its proper divisors (206906016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117417984 is an equidigital number, since it uses as much as digits as its factorization.
117417984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 713 (or 693 counting only the distinct ones).
The product of its digits is 56448, while the sum is 42.
The square root of 117417984 is about 10835.9579179692. The cubic root of 117417984 is about 489.6790679257.
The spelling of 117417984 in words is "one hundred seventeen million, four hundred seventeen thousand, nine hundred eighty-four".
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