Base | Representation |
---|---|
bin | 101000001101… |
… | …010110001111 |
3 | 201211111202100 |
4 | 220031112033 |
5 | 10144243211 |
6 | 1013530143 |
7 | 155410056 |
oct | 50152617 |
9 | 21744670 |
10 | 10540431 |
11 | 5a4a200 |
12 | 3643953 |
13 | 2250855 |
14 | 158539d |
15 | dd3156 |
hex | a0d58f |
10540431 has 18 divisors (see below), whose sum is σ = 16736720. Its totient is φ = 6387480.
The previous prime is 10540429. The next prime is 10540451. The reversal of 10540431 is 13404501.
It is a happy number.
10540431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10540431 - 21 = 10540429 is a prime.
It is a super-3 number, since 3×105404313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10540451) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3751 + ... + 5928.
Almost surely, 210540431 is an apocalyptic number.
10540431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
10540431 is a deficient number, since it is larger than the sum of its proper divisors (6196289).
10540431 is a wasteful number, since it uses less digits than its factorization.
10540431 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9707 (or 9693 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 10540431 is about 3246.6029938999. The cubic root of 10540431 is about 219.2566578704.
Adding to 10540431 its reverse (13404501), we get a palindrome (23944932).
The spelling of 10540431 in words is "ten million, five hundred forty thousand, four hundred thirty-one".
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