Search a number
-
+
10147349 = 19228109
BaseRepresentation
bin100110101101…
…011000010101
3201002112112202
4212231120111
510044203344
61001254245
7152152052
oct46553025
921075482
1010147349
115800943
123494385
132143964
1414c2029
15d5694e
hex9ad615

10147349 has 6 divisors (see below), whose sum is σ = 10709910. Its totient is φ = 9612936.

The previous prime is 10147343. The next prime is 10147373. The reversal of 10147349 is 94374101.

10147349 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 only one way, i.e., 5373124 + 4774225 = 2318^2 + 2185^2 .

It is not a de Polignac number, because 10147349 - 220 = 9098773 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 (10147343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13694 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (1784985).

Almost surely, 210147349 is an apocalyptic number.

10147349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10147349 is a deficient number, since it is larger than the sum of its proper divisors (562561).

10147349 is an equidigital number, since it uses as much as digits as its factorization.

10147349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28147 (or 28128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10147349 is about 3185.4903861101. The cubic root of 10147349 is about 216.4964930708.

The spelling of 10147349 in words is "ten million, one hundred forty-seven thousand, three hundred forty-nine".

Divisors: 1 19 361 28109 534071 10147349