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20455424 = 21311227
BaseRepresentation
bin100111000001…
…0000000000000
31102111020120022
41032002000000
520214033144
62010233012
7335603543
oct116020000
942436508
1020455424
1110601510
126a25768
134312802
142a0685a
151be0cee
hex1382000

20455424 has 56 divisors (see below), whose sum is σ = 44823888. Its totient is φ = 9256960.

The previous prime is 20455423. The next prime is 20455439. The reversal of 20455424 is 42455402.

It is a junction number, because it is equal to n+sod(n) for n = 20455393 and 20455402.

It is not an unprimeable number, because it can be changed into a prime (20455423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89999 + ... + 90225.

Almost surely, 220455424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411944).

20455424 is an abundant number, since it is smaller than the sum of its proper divisors (24368464).

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

20455424 is an equidigital number, since it uses as much as digits as its factorization.

20455424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 20455424 is about 4522.7672944780. The cubic root of 20455424 is about 273.4866692031.

The spelling of 20455424 in words is "twenty million, four hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 227 256 352 454 512 704 908 1024 1408 1816 2048 2497 2816 3632 4096 4994 5632 7264 8192 9988 11264 14528 19976 22528 29056 39952 45056 58112 79904 90112 116224 159808 232448 319616 464896 639232 929792 1278464 1859584 2556928 5113856 10227712 20455424