Search a number
-
+
12407461 = 11241261
BaseRepresentation
bin101111010101…
…001010100101
3212100100211121
4233111022211
511134014321
61121533541
7210314233
oct57251245
925310747
1012407461
117004a00
1241a42b1
1327555c1
14190d953
151151441
hexbd52a5

12407461 has 18 divisors (see below), whose sum is σ = 14207858. Its totient is φ = 10824000.

The previous prime is 12407453. The next prime is 12407477. The reversal of 12407461 is 16470421.

It can be written as a sum of positive squares in 3 ways, for example, as 2579236 + 9828225 = 1606^2 + 3135^2 .

It is not a de Polignac number, because 12407461 - 23 = 12407453 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 (12407411) 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 17 ways as a sum of consecutive naturals, for example, 203371 + ... + 203431.

Almost surely, 212407461 is an apocalyptic number.

12407461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12407461 is a deficient number, since it is larger than the sum of its proper divisors (1800397).

12407461 is an equidigital number, since it uses as much as digits as its factorization.

12407461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 12407461 is about 3522.4226038339. The cubic root of 12407461 is about 231.5053185884.

Adding to 12407461 its reverse (16470421), we get a palindrome (28877882).

The spelling of 12407461 in words is "twelve million, four hundred seven thousand, four hundred sixty-one".

Divisors: 1 11 41 61 121 451 671 1681 2501 4961 7381 18491 27511 102541 203401 302621 1127951 12407461