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10440001 = 112136637
BaseRepresentation
bin100111110100…
…110101000001
3201122101222201
4213310311001
510133040001
61011433201
7154511215
oct47646501
921571881
1010440001
115990800
1235b5801
132216c20
14155a945
15db3501
hex9f4d41

10440001 has 12 divisors (see below), whose sum is σ = 12359956. Its totient is φ = 8759520.

The previous prime is 10439981. The next prime is 10440011. The reversal of 10440001 is 10004401.

10440001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 680625 + 9759376 = 825^2 + 3124^2 .

It is not a de Polignac number, because 10440001 - 217 = 10308929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440011) 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, 1746 + ... + 4891.

Almost surely, 210440001 is an apocalyptic number.

10440001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10440001 is a deficient number, since it is larger than the sum of its proper divisors (1919955).

10440001 is a wasteful number, since it uses less digits than its factorization.

10440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10440001 is about 3231.0990390268. The cubic root of 10440001 is about 218.5580699093.

Adding to 10440001 its reverse (10004401), we get a palindrome (20444402).

Subtracting from 10440001 its reverse (10004401), we obtain a square (435600 = 6602).

The spelling of 10440001 in words is "ten million, four hundred forty thousand, one".

Divisors: 1 11 13 121 143 1573 6637 73007 86281 803077 949091 10440001