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20526480 = 24335131743
BaseRepresentation
bin100111001001…
…1010110010000
31102121212001000
41032103112100
520223321410
62011542000
7336320652
oct116232620
942555030
1020526480
111064a937
126a5a900
134338c60
142a246d2
151c06dc0
hex1393590

20526480 has 320 divisors, whose sum is σ = 82494720. Its totient is φ = 4644864.

The previous prime is 20526469. The next prime is 20526503. The reversal of 20526480 is 8462502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 477339 + ... + 477381.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 220526480 is an apocalyptic number.

20526480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20526480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

20526480 is an abundant number, since it is smaller than the sum of its proper divisors (61968240).

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

20526480 is a wasteful number, since it uses less digits than its factorization.

20526480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20526480 is about 4530.6158521773. The cubic root of 20526480 is about 273.8029734227.

Adding to 20526480 its reverse (8462502), we get a palindrome (28988982).

The spelling of 20526480 in words is "twenty million, five hundred twenty-six thousand, four hundred eighty".