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12413000 = 235312413
BaseRepresentation
bin101111010110…
…100001001000
3212100122102202
4233112201020
511134204000
61122015332
7210336335
oct57264110
925318382
1012413000
117009086
1241a7548
132757c92
14191198c
151152dd5
hexbd6848

12413000 has 32 divisors (see below), whose sum is σ = 29048760. Its totient is φ = 4964800.

The previous prime is 12412997. The next prime is 12413003. The reversal of 12413000 is 31421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12412997) and next prime (12413003).

It can be written as a sum of positive squares in 4 ways, for example, as 2540836 + 9872164 = 1594^2 + 3142^2 .

It is not an unprimeable number, because it can be changed into a prime (12413003) 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 7 ways as a sum of consecutive naturals, for example, 5207 + ... + 7206.

Almost surely, 212413000 is an apocalyptic number.

12413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413000 is an abundant number, since it is smaller than the sum of its proper divisors (16635760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12413000 is a wasteful number, since it uses less digits than its factorization.

12413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12413000 is about 3523.2087647484. The cubic root of 12413000 is about 231.5397633790.

Adding to 12413000 its reverse (31421), we get a palindrome (12444421).

The spelling of 12413000 in words is "twelve million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12413 24826 49652 62065 99304 124130 248260 310325 496520 620650 1241300 1551625 2482600 3103250 6206500 12413000