Search a number
-
+
12083509 is a prime number
BaseRepresentation
bin101110000110…
…000100110101
3211201220110101
4232012010311
511043133014
61110554101
7204464614
oct56060465
924656411
1012083509
116903579
124068931
132671009
14186787b
1510da474
hexb86135

12083509 has 2 divisors, whose sum is σ = 12083510. Its totient is φ = 12083508.

The previous prime is 12083443. The next prime is 12083527. The reversal of 12083509 is 90538021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12006225 + 77284 = 3465^2 + 278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12083509 is a prime.

It is a super-2 number, since 2×120835092 = 292022379506162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12083609) 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 as a sum of consecutive naturals, namely, 6041754 + 6041755.

It is an arithmetic number, because the mean of its divisors is an integer number (6041755).

Almost surely, 212083509 is an apocalyptic number.

It is an amenable number.

12083509 is a deficient number, since it is larger than the sum of its proper divisors (1).

12083509 is an equidigital number, since it uses as much as digits as its factorization.

12083509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 12083509 is about 3476.1342033932. The cubic root of 12083509 is about 229.4726987679.

The spelling of 12083509 in words is "twelve million, eighty-three thousand, five hundred nine".