Base | Representation |
---|---|
bin | 101000011101… |
… | …011100100000 |
3 | 201221212012110 |
4 | 220131130200 |
5 | 10203400433 |
6 | 1015155320 |
7 | 156103233 |
oct | 50353440 |
9 | 21855173 |
10 | 10606368 |
11 | 5a947a3 |
12 | 3675b40 |
13 | 2274876 |
14 | 15a141a |
15 | de7963 |
hex | a1d720 |
10606368 has 96 divisors (see below), whose sum is σ = 30227904. Its totient is φ = 3244032.
The previous prime is 10606367. The next prime is 10606369. The reversal of 10606368 is 86360601.
It is an interprime number because it is at equal distance from previous prime (10606367) and next prime (10606369).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×106063682 = 224990084302848, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10606361) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109296 + ... + 109392.
It is an arithmetic number, because the mean of its divisors is an integer number (314874).
Almost surely, 210606368 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 10606368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113952).
10606368 is an abundant number, since it is smaller than the sum of its proper divisors (19621536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10606368 is a wasteful number, since it uses less digits than its factorization.
10606368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 194 (or 186 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 30.
The square root of 10606368 is about 3256.7419302118. The cubic root of 10606368 is about 219.7129037442.
Adding to 10606368 its reverse (86360601), we get a palindrome (96966969).
The spelling of 10606368 in words is "ten million, six hundred six thousand, three hundred sixty-eight".
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