Base | Representation |
---|---|
bin | 1101010111100… |
… | …01111011100000 |
3 | 21211000022011100 |
4 | 12223301323200 |
5 | 212201440000 |
6 | 15043314400 |
7 | 2531113530 |
oct | 653617340 |
9 | 254008140 |
10 | 112140000 |
11 | 58333495 |
12 | 3167ba00 |
13 | 1a30443b |
14 | 10c714c0 |
15 | 9ca1a00 |
hex | 6af1ee0 |
112140000 has 360 divisors, whose sum is σ = 460540080. Its totient is φ = 25344000.
The previous prime is 112139983. The next prime is 112140047. The reversal of 112140000 is 41211.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259956 + ... + 1260044.
It is an arithmetic number, because the mean of its divisors is an integer number (1279278).
Almost surely, 2112140000 is an apocalyptic number.
112140000 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 112140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230270040).
112140000 is an abundant number, since it is smaller than the sum of its proper divisors (348400080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112140000 is an equidigital number, since it uses as much as digits as its factorization.
112140000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 112140000 is about 10589.6175568337. The cubic root of 112140000 is about 482.2292143963.
Adding to 112140000 its reverse (41211), we get a palindrome (112181211).
The spelling of 112140000 in words is "one hundred twelve million, one hundred forty thousand".
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