Search a number
-
+
10248129 = 321138681
BaseRepresentation
bin100111000101…
…111111000001
3201021122210100
4213011333001
510110420004
61003353013
7153051633
oct47057701
921248710
1010248129
11586a631
123522769
13217a7a8
14150aa53
15d76739
hex9c5fc1

10248129 has 6 divisors (see below), whose sum is σ = 14802866. Its totient is φ = 6832080.

The previous prime is 10248113. The next prime is 10248131. The reversal of 10248129 is 92184201.

10248129 is digitally balanced in base 3, 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 only one way, i.e., 9828225 + 419904 = 3135^2 + 648^2 .

It is not a de Polignac number, because 10248129 - 24 = 10248113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10248529) 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 5 ways as a sum of consecutive naturals, for example, 569332 + ... + 569349.

Almost surely, 210248129 is an apocalyptic number.

It is an amenable number.

10248129 is a deficient number, since it is larger than the sum of its proper divisors (4554737).

10248129 is a wasteful number, since it uses less digits than its factorization.

10248129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138687 (or 1138684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10248129 is about 3201.2699042724. The cubic root of 10248129 is about 217.2108563706.

The spelling of 10248129 in words is "ten million, two hundred forty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 9 1138681 3416043 10248129