| Base | Representation |
|---|---|
| bin | 1110000000001… |
| … | …10110010000000 |
| 3 | 22012001000012100 |
| 4 | 13000012302000 |
| 5 | 220032441123 |
| 6 | 15353430400 |
| 7 | 2624315100 |
| oct | 700066200 |
| 9 | 265030170 |
| 10 | 117468288 |
| 11 | 60342733 |
| 12 | 3340b400 |
| 13 | 1b44b782 |
| 14 | 1185b200 |
| 15 | a4a5643 |
| hex | 7006c80 |
117468288 has 144 divisors (see below), whose sum is σ = 393404310. Its totient is φ = 33546240.
The previous prime is 117468287. The next prime is 117468289. The reversal of 117468288 is 882864711.
It is an interprime number because it is at equal distance from previous prime (117468287) and next prime (117468289).
It can be written as a sum of positive squares in only one way, i.e., 105021504 + 12446784 = 10248^2 + 3528^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (117468287) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55408 + ... + 57488.
Almost surely, 2117468288 is an apocalyptic number.
117468288 is a gapful number since it is divisible by the number (18) 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 117468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196702155).
117468288 is an abundant number, since it is smaller than the sum of its proper divisors (275936022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117468288 is a wasteful number, since it uses less digits than its factorization.
117468288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2115 (or 2093 counting only the distinct ones).
The product of its digits is 172032, while the sum is 45.
The square root of 117468288 is about 10838.2788301464. The cubic root of 117468288 is about 489.7489870815.
The spelling of 117468288 in words is "one hundred seventeen million, four hundred sixty-eight thousand, two hundred eighty-eight".
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