Base | Representation |
---|---|
bin | 100110001111… |
… | …001000010100 |
3 | 200212020120200 |
4 | 212033020110 |
5 | 10031222234 |
6 | 554500500 |
7 | 151124604 |
oct | 46171024 |
9 | 20766520 |
10 | 10023444 |
11 | 5726842 |
12 | 3434730 |
13 | 20cc442 |
14 | 148cc04 |
15 | d2ed99 |
hex | 98f214 |
10023444 has 36 divisors (see below), whose sum is σ = 26213460. Its totient is φ = 3225600.
The previous prime is 10023443. The next prime is 10023449. The reversal of 10023444 is 44432001.
It can be written as a sum of positive squares in 2 ways, for example, as 6563844 + 3459600 = 2562^2 + 1860^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×100234442 = 200938859242272, which contains 22 as substring.
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 (10023443) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3757 + ... + 5844.
Almost surely, 210023444 is an apocalyptic number.
It is an amenable number.
10023444 is an abundant number, since it is smaller than the sum of its proper divisors (16190016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023444 is a wasteful number, since it uses less digits than its factorization.
10023444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9640 (or 9635 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 10023444 is about 3165.9823120163. The cubic root of 10023444 is about 215.6116994947.
Adding to 10023444 its reverse (44432001), we get a palindrome (54455445).
The spelling of 10023444 in words is "ten million, twenty-three thousand, four hundred forty-four".
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