Base | Representation |
---|---|
bin | 1000010110000… |
… | …0111011101000 |
3 | 2102212012000210 |
4 | 2011200323220 |
5 | 32430000130 |
6 | 3250101120 |
7 | 603331635 |
oct | 205407350 |
9 | 72765023 |
10 | 35000040 |
11 | 18836059 |
12 | b87a7a0 |
13 | 7335aaa |
14 | 491118c |
15 | 31155b0 |
hex | 2160ee8 |
35000040 has 64 divisors (see below), whose sum is σ = 105494400. Its totient is φ = 9289472.
The previous prime is 35000011. The next prime is 35000041. The reversal of 35000040 is 4000053.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (35000041) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 31006 + ... + 32114.
It is an arithmetic number, because the mean of its divisors is an integer number (1648350).
Almost surely, 235000040 is an apocalyptic number.
35000040 is a gapful number since it is divisible by the number (30) 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 35000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52747200).
35000040 is an abundant number, since it is smaller than the sum of its proper divisors (70494360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35000040 is a wasteful number, since it uses less digits than its factorization.
35000040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1386 (or 1382 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 12.
The square root of 35000040 is about 5916.0831637157. The cubic root of 35000040 is about 327.1067556309.
Adding to 35000040 its reverse (4000053), we get a palindrome (39000093).
The spelling of 35000040 in words is "thirty-five million, forty", and thus it is an aban number and an uban number.
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