Base | Representation |
---|---|
bin | 100110010110… |
… | …010110110000 |
3 | 200220202011211 |
4 | 212112112300 |
5 | 10033144130 |
6 | 555245504 |
7 | 151310104 |
oct | 46262660 |
9 | 20822154 |
10 | 10053040 |
11 | 5746aa8 |
12 | 3449894 |
13 | 210ca5a |
14 | 1499904 |
15 | d38a2a |
hex | 9965b0 |
10053040 has 40 divisors (see below), whose sum is σ = 23824368. Its totient is φ = 3943680.
The previous prime is 10053037. The next prime is 10053097. The reversal of 10053040 is 4035001.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×100530402 = 202127226483200, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10053040.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3055 + ... + 5425.
Almost surely, 210053040 is an apocalyptic number.
10053040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912184).
10053040 is an abundant number, since it is smaller than the sum of its proper divisors (13771328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10053040 is a wasteful number, since it uses less digits than its factorization.
10053040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2437 (or 2431 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 13.
The square root of 10053040 is about 3170.6529296030. The cubic root of 10053040 is about 215.8237015954.
Adding to 10053040 its reverse (4035001), we get a palindrome (14088041).
The spelling of 10053040 in words is "ten million, fifty-three thousand, forty".
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