| Base | Representation |
|---|---|
| bin | 1101011010111… |
| … | …11101101110000 |
| 3 | 21211212011000011 |
| 4 | 12231133231300 |
| 5 | 212310332210 |
| 6 | 15101104304 |
| 7 | 2534665540 |
| oct | 655375560 |
| 9 | 254764004 |
| 10 | 112589680 |
| 11 | 58610325 |
| 12 | 31858094 |
| 13 | 1a431018 |
| 14 | 10d4b320 |
| 15 | 9d3ed8a |
| hex | 6b5fb70 |
112589680 has 80 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 38221056.
The previous prime is 112589671. The next prime is 112589689. The reversal of 112589680 is 86985211.
It is an interprime number because it is at equal distance from previous prime (112589671) and next prime (112589689).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112589689) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58981 + ... + 60859.
It is an arithmetic number, because the mean of its divisors is an integer number (3776544).
Almost surely, 2112589680 is an apocalyptic number.
112589680 is a gapful number since it is divisible by the number (10) 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 112589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).
112589680 is an abundant number, since it is smaller than the sum of its proper divisors (189533840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112589680 is a wasteful number, since it uses less digits than its factorization.
112589680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 40.
The square root of 112589680 is about 10610.8284313714. The cubic root of 112589680 is about 482.8729324375.
The spelling of 112589680 in words is "one hundred twelve million, five hundred eighty-nine thousand, six hundred eighty".
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