Base | Representation |
---|---|
bin | 111101100110… |
… | …1010010000000 |
3 | 2020202220200101 |
4 | 1323031102000 |
5 | 31232014422 |
6 | 3112132144 |
7 | 541346410 |
oct | 173152200 |
9 | 66686611 |
10 | 32298112 |
11 | 17260060 |
12 | a997054 |
13 | 68cb012 |
14 | 440a640 |
15 | 2c7ec27 |
hex | 1ecd480 |
32298112 has 128 divisors (see below), whose sum is σ = 83721600. Its totient is φ = 12042240.
The previous prime is 32298107. The next prime is 32298127. The reversal of 32298112 is 21189223.
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 (28).
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, 285768 + ... + 285880.
It is an arithmetic number, because the mean of its divisors is an integer number (654075).
Almost surely, 232298112 is an apocalyptic number.
32298112 is a gapful number since it is divisible by the number (32) 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 32298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).
32298112 is an abundant number, since it is smaller than the sum of its proper divisors (51423488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32298112 is a wasteful number, since it uses less digits than its factorization.
32298112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174 (or 162 counting only the distinct ones).
The product of its digits is 1728, while the sum is 28.
The square root of 32298112 is about 5683.1427925049. The cubic root of 32298112 is about 318.4630465290.
Subtracting from 32298112 its reverse (21189223), we obtain a square (11108889 = 33332).
The spelling of 32298112 in words is "thirty-two million, two hundred ninety-eight thousand, one hundred twelve".
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