| Base | Representation |
|---|---|
| bin | 1110000000001… |
| … | …10010000010000 |
| 3 | 22012000220020100 |
| 4 | 13000012100100 |
| 5 | 220032404003 |
| 6 | 15353412400 |
| 7 | 2624305563 |
| oct | 700062020 |
| 9 | 265026210 |
| 10 | 117466128 |
| 11 | 6034104a |
| 12 | 3340a100 |
| 13 | 1b44a7b0 |
| 14 | 1185a4da |
| 15 | a4a4ba3 |
| hex | 7006410 |
117466128 has 120 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 35792640.
The previous prime is 117466121. The next prime is 117466147. The reversal of 117466128 is 821664711.
It is a happy number.
117466128 is a nontrivial binomial coefficient, being equal to C(15328, 2).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 117466092 and 117466101.
It is not an unprimeable number, because it can be changed into a prime (117466121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244993 + ... + 245471.
It is an arithmetic number, because the mean of its divisors is an integer number (2978976).
Almost surely, 2117466128 is an apocalyptic number.
117466128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
117466128 is the 15327-th triangular number and also the 7664-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 117466128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).
117466128 is an abundant number, since it is smaller than the sum of its proper divisors (240010992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117466128 is a wasteful number, since it uses less digits than its factorization.
117466128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 637 (or 628 counting only the distinct ones).
The product of its digits is 16128, while the sum is 36.
The square root of 117466128 is about 10838.1791828702. The cubic root of 117466128 is about 489.7459852379.
The spelling of 117466128 in words is "one hundred seventeen million, four hundred sixty-six thousand, one hundred twenty-eight".
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