Search a number
-
+
10249127 = 73173647
BaseRepresentation
bin100111000110…
…001110100111
3201021201011022
4213012032213
510110433002
61003401355
7153054560
oct47061647
921251138
1010249127
115870359
12352325b
13217b095
14150b167
15d76ba2
hex9c63a7

10249127 has 16 divisors (see below), whose sum is σ = 12275712. Its totient is φ = 8372160.

The previous prime is 10249123. The next prime is 10249133. The reversal of 10249127 is 72194201.

10249127 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10249127 - 22 = 10249123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10249096 and 10249105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15518 + ... + 16164.

It is an arithmetic number, because the mean of its divisors is an integer number (767232).

Almost surely, 210249127 is an apocalyptic number.

10249127 is a deficient number, since it is larger than the sum of its proper divisors (2026585).

10249127 is an equidigital number, since it uses as much as digits as its factorization.

10249127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 10249127 is about 3201.4257761191. The cubic root of 10249127 is about 217.2179070689.

The spelling of 10249127 in words is "ten million, two hundred forty-nine thousand, one hundred twenty-seven".

Divisors: 1 7 31 73 217 511 647 2263 4529 15841 20057 47231 140399 330617 1464161 10249127