Base | Representation |
---|---|
bin | 1100101000110… |
… | …00111010110000 |
3 | 21101110202222010 |
4 | 12110120322300 |
5 | 204114230430 |
6 | 14304042520 |
7 | 2425024632 |
oct | 624307260 |
9 | 241422863 |
10 | 106008240 |
11 | 54925618 |
12 | 2b603440 |
13 | 18c68490 |
14 | 10116a52 |
15 | 948ecb0 |
hex | 6518eb0 |
106008240 has 160 divisors (see below), whose sum is σ = 360351936. Its totient is φ = 25620480.
The previous prime is 106008229. The next prime is 106008241. The reversal of 106008240 is 42800601.
It is a super-2 number, since 2×1060082402 = 22475493895795200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106008241) 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, 190042 + ... + 190598.
Almost surely, 2106008240 is an apocalyptic number.
106008240 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 106008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180175968).
106008240 is an abundant number, since it is smaller than the sum of its proper divisors (254343696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106008240 is a wasteful number, since it uses less digits than its factorization.
106008240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 647 (or 641 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 106008240 is about 10296.0303029857. The cubic root of 106008240 is about 473.2746119488.
Adding to 106008240 its reverse (42800601), we get a palindrome (148808841).
The spelling of 106008240 in words is "one hundred six million, eight thousand, two hundred forty".
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