Base | Representation |
---|---|
bin | 1101010111000… |
… | …01111111101100 |
3 | 21210212222122000 |
4 | 12223201333230 |
5 | 212142342412 |
6 | 15042052300 |
7 | 2530422330 |
oct | 653417754 |
9 | 253788560 |
10 | 112074732 |
11 | 58299450 |
12 | 3164a090 |
13 | 1a2b0813 |
14 | 10c557c0 |
15 | 9c8c4dc |
hex | 6ae1fec |
112074732 has 96 divisors (see below), whose sum is σ = 362288640. Its totient is φ = 29108160.
The previous prime is 112074731. The next prime is 112074733. The reversal of 112074732 is 237470211.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (112074731) and next prime (112074733).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 112074696 and 112074705.
It is not an unprimeable number, because it can be changed into a prime (112074731) 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 31 ways as a sum of consecutive naturals, for example, 1578 + ... + 15054.
It is an arithmetic number, because the mean of its divisors is an integer number (3773840).
Almost surely, 2112074732 is an apocalyptic number.
112074732 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 112074732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181144320).
112074732 is an abundant number, since it is smaller than the sum of its proper divisors (250213908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112074732 is a wasteful number, since it uses less digits than its factorization.
112074732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13508 (or 13500 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 112074732 is about 10586.5354106053. The cubic root of 112074732 is about 482.1356401601.
The spelling of 112074732 in words is "one hundred twelve million, seventy-four thousand, seven hundred thirty-two".
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