Base | Representation |
---|---|
bin | 100111010001… |
… | …010101000000 |
3 | 201101000112012 |
4 | 213101111000 |
5 | 10113411332 |
6 | 1004352052 |
7 | 153334250 |
oct | 47212500 |
9 | 21330465 |
10 | 10294592 |
11 | 58a1530 |
12 | 3545628 |
13 | 2195999 |
14 | 151d960 |
15 | d853b2 |
hex | 9d1540 |
10294592 has 56 divisors (see below), whose sum is σ = 25481280. Its totient is φ = 4008960.
The previous prime is 10294579. The next prime is 10294597. The reversal of 10294592 is 29549201.
It is a tau number, because it is divible by the number of its divisors (56).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10294597) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3884 + ... + 5972.
Almost surely, 210294592 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 10294592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740640).
10294592 is an abundant number, since it is smaller than the sum of its proper divisors (15186688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10294592 is a wasteful number, since it uses less digits than its factorization.
10294592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2119 (or 2109 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 32.
The square root of 10294592 is about 3208.5186613140. The cubic root of 10294592 is about 217.5386252801.
The spelling of 10294592 in words is "ten million, two hundred ninety-four thousand, five hundred ninety-two".
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