Base | Representation |
---|---|
bin | 101000101011… |
… | …110010111000 |
3 | 202001211211100 |
4 | 220223302320 |
5 | 10212241034 |
6 | 1020331400 |
7 | 156436500 |
oct | 50536270 |
9 | 22054740 |
10 | 10665144 |
11 | 6024976 |
12 | 36a3b60 |
13 | 2295549 |
14 | 15b8a00 |
15 | e0a099 |
hex | a2bcb8 |
10665144 has 72 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 3046176.
The previous prime is 10665143. The next prime is 10665157. The reversal of 10665144 is 44156601.
10665144 is a `hidden beast` number, since 1 + 0 + 6 + 651 + 4 + 4 = 666.
10665144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×106651442 = 227490593081472, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10665143) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2017 + ... + 5039.
It is an arithmetic number, because the mean of its divisors is an integer number (466830).
Almost surely, 210665144 is an apocalyptic number.
10665144 is a gapful number since it is divisible by the number (14) 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 10665144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).
10665144 is an abundant number, since it is smaller than the sum of its proper divisors (22946616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10665144 is a wasteful number, since it uses less digits than its factorization.
10665144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3049 (or 3035 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 10665144 is about 3265.7532056174. The cubic root of 10665144 is about 220.1180083142.
The spelling of 10665144 in words is "ten million, six hundred sixty-five thousand, one hundred forty-four".
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