Search a number
-
+
10146253 = 13260037
BaseRepresentation
bin100110101101…
…000111001101
3201002111001011
4212231013031
510044140003
61001245221
7152145625
oct46550715
921074034
1010146253
115800037
123493811
132143300
1414c1885
15d5646d
hex9ad1cd

10146253 has 6 divisors (see below), whose sum is σ = 10986954. Its totient is φ = 9365616.

The previous prime is 10146239. The next prime is 10146271. The reversal of 10146253 is 35264101.

It can be written as a sum of positive squares in 3 ways, for example, as 299209 + 9847044 = 547^2 + 3138^2 .

It is not a de Polignac number, because 10146253 - 221 = 8049101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146223) 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, 29850 + ... + 30187.

It is an arithmetic number, because the mean of its divisors is an integer number (1831159).

Almost surely, 210146253 is an apocalyptic number.

10146253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10146253 is a deficient number, since it is larger than the sum of its proper divisors (840701).

10146253 is an equidigital number, since it uses as much as digits as its factorization.

10146253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60063 (or 60050 counting only the distinct ones).

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

The square root of 10146253 is about 3185.3183514368. The cubic root of 10146253 is about 216.4886983026.

The spelling of 10146253 in words is "ten million, one hundred forty-six thousand, two hundred fifty-three".

Divisors: 1 13 169 60037 780481 10146253