Base | Representation |
---|---|
bin | 1000010110101… |
… | …0101100001100 |
3 | 2102221012212020 |
4 | 2011222230030 |
5 | 32432240022 |
6 | 3251010140 |
7 | 603556320 |
oct | 205525414 |
9 | 72835766 |
10 | 35040012 |
11 | 18863097 |
12 | b899950 |
13 | 734b047 |
14 | 4921980 |
15 | 312235c |
hex | 216ab0c |
35040012 has 96 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 9580032.
The previous prime is 35040001. The next prime is 35040023. The reversal of 35040012 is 21004053.
It is an interprime number because it is at equal distance from previous prime (35040001) and next prime (35040023).
It is a junction number, because it is equal to n+sod(n) for n = 35039973 and 35040000.
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 31 ways as a sum of consecutive naturals, for example, 321414 + ... + 321522.
It is an arithmetic number, because the mean of its divisors is an integer number (1016400).
Almost surely, 235040012 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 35040012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).
35040012 is an abundant number, since it is smaller than the sum of its proper divisors (62534388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35040012 is a wasteful number, since it uses less digits than its factorization.
35040012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 15.
The square root of 35040012 is about 5919.4604483855. The cubic root of 35040012 is about 327.2312329828.
Adding to 35040012 its reverse (21004053), we get a palindrome (56044065).
The spelling of 35040012 in words is "thirty-five million, forty thousand, twelve".
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