| Base | Representation |
|---|---|
| bin | 1101010011100… |
| … | …10001111100000 |
| 3 | 21210000201201200 |
| 4 | 12221302033200 |
| 5 | 212033220432 |
| 6 | 15024201200 |
| 7 | 2523504654 |
| oct | 651621740 |
| 9 | 253021650 |
| 10 | 111616992 |
| 11 | 58006553 |
| 12 | 31469200 |
| 13 | 1a180376 |
| 14 | 10b76a64 |
| 15 | 9beba7c |
| hex | 6a723e0 |
111616992 has 72 divisors (see below), whose sum is σ = 324828504. Its totient is φ = 36336384.
The previous prime is 111616961. The next prime is 111616997. The reversal of 111616992 is 299616111.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (111616997) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 7878 + ... + 16890.
It is an arithmetic number, because the mean of its divisors is an integer number (4511507).
Almost surely, 2111616992 is an apocalyptic number.
111616992 is a gapful number since it is divisible by the number (12) 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 111616992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162414252).
111616992 is an abundant number, since it is smaller than the sum of its proper divisors (213211512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111616992 is a wasteful number, since it uses less digits than its factorization.
111616992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9072 (or 9061 counting only the distinct ones).
The product of its digits is 5832, while the sum is 36.
The square root of 111616992 is about 10564.8943203423. The cubic root of 111616992 is about 481.4783587741.
The spelling of 111616992 in words is "one hundred eleven million, six hundred sixteen thousand, nine hundred ninety-two".
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