Base | Representation |
---|---|
bin | 1101010110100… |
… | …01000110010000 |
3 | 21210202110200121 |
4 | 12223101012100 |
5 | 212133134040 |
6 | 15040400024 |
7 | 2530013464 |
oct | 653210620 |
9 | 253673617 |
10 | 112005520 |
11 | 58251450 |
12 | 31616014 |
13 | 1a288173 |
14 | 10c384a4 |
15 | 9c76c4a |
hex | 6ad1190 |
112005520 has 80 divisors (see below), whose sum is σ = 300837888. Its totient is φ = 38328320.
The previous prime is 112005499. The next prime is 112005529. The reversal of 112005520 is 25500211.
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 (16).
It is a junction number, because it is equal to n+sod(n) for n = 112005494 and 112005503.
It is not an unprimeable number, because it can be changed into a prime (112005529) by changing a digit.
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, 11217 + ... + 18703.
Almost surely, 2112005520 is an apocalyptic number.
112005520 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 112005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).
112005520 is an abundant number, since it is smaller than the sum of its proper divisors (188832368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112005520 is a wasteful number, since it uses less digits than its factorization.
112005520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7528 (or 7522 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 16.
The square root of 112005520 is about 10583.2660365314. The cubic root of 112005520 is about 482.0363717438.
Adding to 112005520 its reverse (25500211), we get a palindrome (137505731).
The spelling of 112005520 in words is "one hundred twelve million, five thousand, five hundred twenty".
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