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20438417 = 29672157
BaseRepresentation
bin100110111110…
…1110110010001
31102110101020102
41031331312101
520213012132
62010022145
7335503136
oct115756621
942411212
1020438417
111059a75a
126a17955
134307b4c
142a0058d
151bdac62
hex137dd91

20438417 has 12 divisors (see below), whose sum is σ = 21600180. Its totient is φ = 19315296.

The previous prime is 20438413. The next prime is 20438419. The reversal of 20438417 is 71483402.

It can be written as a sum of positive squares in 2 ways, for example, as 8300161 + 12138256 = 2881^2 + 3484^2 .

It is not a de Polignac number, because 20438417 - 22 = 20438413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20438417.

It is not an unprimeable number, because it can be changed into a prime (20438413) 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, 130103 + ... + 130259.

It is an arithmetic number, because the mean of its divisors is an integer number (1800015).

Almost surely, 220438417 is an apocalyptic number.

It is an amenable number.

20438417 is a deficient number, since it is larger than the sum of its proper divisors (1161763).

20438417 is an equidigital number, since it uses as much as digits as its factorization.

20438417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 20438417 is about 4520.8867493004. The cubic root of 20438417 is about 273.4108543091.

The spelling of 20438417 in words is "twenty million, four hundred thirty-eight thousand, four hundred seventeen".

Divisors: 1 29 67 157 1943 4489 4553 10519 130181 305051 704773 20438417