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20435454 = 23213233797
BaseRepresentation
bin100110111110…
…1000111111110
31102110020011200
41031331013332
520212413304
62010000330
7335461404
oct115750776
942406150
1020435454
1110598506
126a160a6
1343066b0
1429dd474
151bd9e39
hex137d1fe

20435454 has 48 divisors (see below), whose sum is σ = 49768992. Its totient is φ = 6012864.

The previous prime is 20435447. The next prime is 20435489. The reversal of 20435454 is 45453402.

20435454 is a `hidden beast` number, since 204 + 3 + 5 + 454 = 666.

It is a super-2 number, since 2×204354542 = 835215560372232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3484 + ... + 7280.

It is an arithmetic number, because the mean of its divisors is an integer number (1036854).

Almost surely, 220435454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20435454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24884496).

20435454 is an abundant number, since it is smaller than the sum of its proper divisors (29333538).

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

20435454 is a wasteful number, since it uses less digits than its factorization.

20435454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 20435454 is about 4520.5590362255. The cubic root of 20435454 is about 273.3976413564.

Adding to 20435454 its reverse (45453402), we get a palindrome (65888856).

The spelling of 20435454 in words is "twenty million, four hundred thirty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 3797 5382 7594 11391 22782 34173 49361 68346 87331 98722 148083 174662 261993 296166 444249 523986 785979 888498 1135303 1571958 2270606 3405909 6811818 10217727 20435454