Search a number
-
+
10523461 = 13273853
BaseRepresentation
bin101000001001…
…001101000101
3201210122110211
4220021031011
510143222321
61013315421
7155306434
oct50111505
921718424
1010523461
115a38483
123635b71
132245c00
14157d11b
15dcd0e1
hexa09345

10523461 has 12 divisors (see below), whose sum is σ = 11564868. Its totient is φ = 9569664.

The previous prime is 10523437. The next prime is 10523467. The reversal of 10523461 is 16432501.

It can be written as a sum of positive squares in 6 ways, for example, as 3632836 + 6890625 = 1906^2 + 2625^2 .

It is not a de Polignac number, because 10523461 - 27 = 10523333 is a prime.

It is a super-2 number, since 2×105234612 = 221486462837042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523467) 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, 11911 + ... + 12763.

It is an arithmetic number, because the mean of its divisors is an integer number (963739).

Almost surely, 210523461 is an apocalyptic number.

It is an amenable number.

10523461 is a deficient number, since it is larger than the sum of its proper divisors (1041407).

10523461 is an equidigital number, since it uses as much as digits as its factorization.

10523461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10523461 is about 3243.9884401767. The cubic root of 10523461 is about 219.1389275776.

Adding to 10523461 its reverse (16432501), we get a palindrome (26955962).

The spelling of 10523461 in words is "ten million, five hundred twenty-three thousand, four hundred sixty-one".

Divisors: 1 13 73 169 853 949 11089 12337 62269 144157 809497 10523461