Base | Representation |
---|---|
bin | 101000111101… |
… | …011010111110 |
3 | 202012111212100 |
4 | 220331122332 |
5 | 10222043332 |
6 | 1022045530 |
7 | 160160130 |
oct | 50753276 |
9 | 22174770 |
10 | 10737342 |
11 | 6074140 |
12 | 37198a6 |
13 | 22bc375 |
14 | 15d7050 |
15 | e2167c |
hex | a3d6be |
10737342 has 96 divisors (see below), whose sum is σ = 29712384. Its totient is φ = 2721600.
The previous prime is 10737341. The next prime is 10737347. The reversal of 10737342 is 24373701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10737341) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84483 + ... + 84609.
It is an arithmetic number, because the mean of its divisors is an integer number (309504).
Almost surely, 210737342 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10737342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192).
10737342 is an abundant number, since it is smaller than the sum of its proper divisors (18975042).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10737342 is a wasteful number, since it uses less digits than its factorization.
10737342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214 (or 211 counting only the distinct ones).
The product of its (nonzero) digits is 3528, while the sum is 27.
The square root of 10737342 is about 3276.7883666786. The cubic root of 10737342 is about 220.6135901083.
The spelling of 10737342 in words is "ten million, seven hundred thirty-seven thousand, three hundred forty-two".
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