| Base | Representation |
|---|---|
| bin | 1101010111100… |
| … | …01001010000000 |
| 3 | 21211000010211000 |
| 4 | 12223301022000 |
| 5 | 212201334312 |
| 6 | 15043252000 |
| 7 | 2531101353 |
| oct | 653611200 |
| 9 | 254003730 |
| 10 | 112136832 |
| 11 | 58331075 |
| 12 | 3167a000 |
| 13 | 1a302b72 |
| 14 | 10c7029a |
| 15 | 9ca0adc |
| hex | 6af1280 |
112136832 has 128 divisors (see below), whose sum is σ = 336355200. Its totient is φ = 36771840.
The previous prime is 112136789. The next prime is 112136851. The reversal of 112136832 is 238631211.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 112136796 and 112136805.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 245148 + ... + 245604.
It is an arithmetic number, because the mean of its divisors is an integer number (2627775).
Almost surely, 2112136832 is an apocalyptic number.
112136832 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 112136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168177600).
112136832 is an abundant number, since it is smaller than the sum of its proper divisors (224218368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112136832 is an equidigital number, since it uses as much as digits as its factorization.
112136832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 551 (or 533 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 112136832 is about 10589.4679753045. The cubic root of 112136832 is about 482.2246732973.
The spelling of 112136832 in words is "one hundred twelve million, one hundred thirty-six thousand, eight hundred thirty-two".
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