Base | Representation |
---|---|
bin | 100110011010… |
… | …110001101000 |
3 | 200221200000100 |
4 | 212122301220 |
5 | 10034234034 |
6 | 555505400 |
7 | 151413636 |
oct | 46326150 |
9 | 20850010 |
10 | 10071144 |
11 | 5759666 |
12 | 3458260 |
13 | 2118075 |
14 | 14a2356 |
15 | d3e099 |
hex | 99ac68 |
10071144 has 48 divisors (see below), whose sum is σ = 27502020. Its totient is φ = 3329280.
The previous prime is 10071143. The next prime is 10071163. The reversal of 10071144 is 44117001.
It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 72900 = 3162^2 + 270^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10071143) 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 11 ways as a sum of consecutive naturals, for example, 9354 + ... + 10374.
Almost surely, 210071144 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 10071144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751010).
10071144 is an abundant number, since it is smaller than the sum of its proper divisors (17430876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10071144 is a wasteful number, since it uses less digits than its factorization.
10071144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1170 (or 1163 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 18.
The square root of 10071144 is about 3173.5065779040. The cubic root of 10071144 is about 215.9531791521.
Adding to 10071144 its reverse (44117001), we get a palindrome (54188145).
The spelling of 10071144 in words is "ten million, seventy-one thousand, one hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •