Base | Representation |
---|---|
bin | 100110010100… |
… | …001011110000 |
3 | 200220021222100 |
4 | 212110023300 |
5 | 10032403034 |
6 | 555140400 |
7 | 151242135 |
oct | 46241360 |
9 | 20807870 |
10 | 10044144 |
11 | 5740350 |
12 | 3444700 |
13 | 21089a6 |
14 | 149658c |
15 | d36099 |
hex | 9942f0 |
10044144 has 120 divisors (see below), whose sum is σ = 32555952. Its totient is φ = 2856960.
The previous prime is 10044137. The next prime is 10044149. The reversal of 10044144 is 44144001.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10044149) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26742 + ... + 27114.
Almost surely, 210044144 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 10044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277976).
10044144 is an abundant number, since it is smaller than the sum of its proper divisors (22511808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10044144 is a wasteful number, since it uses less digits than its factorization.
10044144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 415 (or 406 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 10044144 is about 3169.2497534906. The cubic root of 10044144 is about 215.7600215458.
Adding to 10044144 its reverse (44144001), we get a palindrome (54188145).
It can be divided in two parts, 100 and 44144, that added together give a palindrome (44244).
The spelling of 10044144 in words is "ten million, forty-four thousand, one hundred forty-four".
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