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20430413 = 172921429
BaseRepresentation
bin100110111101…
…1111001001101
31102102222020222
41031323321031
520212233123
62005521125
7335440613
oct115737115
942388228
1020430413
1110594743
126a131a5
134304303
1429db6b3
151bd86c8
hex137be4d

20430413 has 12 divisors (see below), whose sum is σ = 22419540. Its totient is φ = 18552576.

The previous prime is 20430409. The next prime is 20430439. The reversal of 20430413 is 31403402.

It can be written as a sum of positive squares in 6 ways, for example, as 162409 + 20268004 = 403^2 + 4502^2 .

It is not a de Polignac number, because 20430413 - 22 = 20430409 is a prime.

It is a super-3 number, since 3×204304133 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20430391 and 20430400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13583 + ... + 15011.

It is an arithmetic number, because the mean of its divisors is an integer number (1868295).

Almost surely, 220430413 is an apocalyptic number.

It is an amenable number.

20430413 is a deficient number, since it is larger than the sum of its proper divisors (1989127).

20430413 is a wasteful number, since it uses less digits than its factorization.

20430413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 20430413 is about 4520.0014380529. The cubic root of 20430413 is about 273.3751590103.

Adding to 20430413 its reverse (31403402), we get a palindrome (51833815).

The spelling of 20430413 in words is "twenty million, four hundred thirty thousand, four hundred thirteen".

Divisors: 1 17 29 493 841 1429 14297 24293 41441 704497 1201789 20430413