Base | Representation |
---|---|
bin | 1100100100001… |
… | …00111111011100 |
3 | 21100022222211002 |
4 | 12102010333130 |
5 | 203440333312 |
6 | 14243045432 |
7 | 2416622300 |
oct | 622047734 |
9 | 240288732 |
10 | 105402332 |
11 | 54551372 |
12 | 2b370878 |
13 | 18ab5759 |
14 | ddd9d00 |
15 | 93c04c2 |
hex | 6484fdc |
105402332 has 36 divisors (see below), whose sum is σ = 216513360. Its totient is φ = 44763264.
The previous prime is 105402317. The next prime is 105402337. The reversal of 105402332 is 233204501.
It is a happy number.
It is a super-2 number, since 2×1054023322 = 22219303182076448, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105402337) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19769 + ... + 24527.
It is an arithmetic number, because the mean of its divisors is an integer number (6014260).
Almost surely, 2105402332 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105402332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108256680).
105402332 is an abundant number, since it is smaller than the sum of its proper divisors (111111028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105402332 is a wasteful number, since it uses less digits than its factorization.
105402332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4890 (or 4881 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 105402332 is about 10266.5637873633. The cubic root of 105402332 is about 472.3711948859.
Adding to 105402332 its reverse (233204501), we get a palindrome (338606833).
The spelling of 105402332 in words is "one hundred five million, four hundred two thousand, three hundred thirty-two".
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