Search a number
-
+
12358241 = 72252209
BaseRepresentation
bin101111001001…
…001001100001
3212020212022122
4233021021201
511130430431
61120514025
7210020600
oct57111141
925225278
1012358241
116a80a25
12417b915
13273908c
1418d9a37
151141a7b
hexbc9261

12358241 has 6 divisors (see below), whose sum is σ = 14375970. Its totient is φ = 10592736.

The previous prime is 12358231. The next prime is 12358267. The reversal of 12358241 is 14285321.

It can be written as a sum of positive squares in only one way, i.e., 12250000 + 108241 = 3500^2 + 329^2 .

It is a de Polignac number, because none of the positive numbers 2k-12358241 is a prime.

It is a super-2 number, since 2×123582412 = 305452241228162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12358241.

It is not an unprimeable number, because it can be changed into a prime (12358211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126056 + ... + 126153.

It is an arithmetic number, because the mean of its divisors is an integer number (2395995).

Almost surely, 212358241 is an apocalyptic number.

It is an amenable number.

12358241 is a deficient number, since it is larger than the sum of its proper divisors (2017729).

12358241 is an equidigital number, since it uses as much as digits as its factorization.

12358241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252223 (or 252216 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 12358241 is about 3515.4289923137. The cubic root of 12358241 is about 231.1987881727.

The spelling of 12358241 in words is "twelve million, three hundred fifty-eight thousand, two hundred forty-one".

Divisors: 1 7 49 252209 1765463 12358241