Base | Representation |
---|---|
bin | 100110001100… |
… | …110101010000 |
3 | 200211202200002 |
4 | 212030311100 |
5 | 10030422112 |
6 | 554345132 |
7 | 151055300 |
oct | 46146520 |
9 | 20752602 |
10 | 10014032 |
11 | 571a766 |
12 | 342b1a8 |
13 | 20c8082 |
14 | 1489600 |
15 | d2c1c2 |
hex | 98cd50 |
10014032 has 60 divisors (see below), whose sum is σ = 23091156. Its totient is φ = 4193280.
The previous prime is 10014031. The next prime is 10014079. The reversal of 10014032 is 23041001.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 7376656 + 2637376 = 2716^2 + 1624^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10014031) 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, 41432 + ... + 41672.
Almost surely, 210014032 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 10014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545578).
10014032 is an abundant number, since it is smaller than the sum of its proper divisors (13077124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10014032 is a wasteful number, since it uses less digits than its factorization.
10014032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 316 (or 303 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 10014032 is about 3164.4955364165. The cubic root of 10014032 is about 215.5441919983.
Adding to 10014032 its reverse (23041001), we get a palindrome (33055033).
The spelling of 10014032 in words is "ten million, fourteen thousand, thirty-two".
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