Base | Representation |
---|---|
bin | 101000110001… |
… | …110111011000 |
3 | 202010002221020 |
4 | 220301313120 |
5 | 10214040013 |
6 | 1021042440 |
7 | 156602130 |
oct | 50616730 |
9 | 22102836 |
10 | 10690008 |
11 | 604161a |
12 | 36b6420 |
13 | 22a3964 |
14 | 15c3ac0 |
15 | e12623 |
hex | a31dd8 |
10690008 has 128 divisors (see below), whose sum is σ = 34214400. Its totient is φ = 2709504.
The previous prime is 10690007. The next prime is 10690039. The reversal of 10690008 is 80009601.
10690008 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 a super-2 number, since 2×106900082 = 228552542080128, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 10690008.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10690007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54166 + ... + 54362.
It is an arithmetic number, because the mean of its divisors is an integer number (267300).
Almost surely, 210690008 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 10690008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107200).
10690008 is an abundant number, since it is smaller than the sum of its proper divisors (23524392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10690008 is a wasteful number, since it uses less digits than its factorization.
10690008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 249 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 24.
The square root of 10690008 is about 3269.5577682616. The cubic root of 10690008 is about 220.2889316672.
Adding to 10690008 its reverse (80009601), we get a palindrome (90699609).
The spelling of 10690008 in words is "ten million, six hundred ninety thousand, eight".
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