Search a number
-
+
20482560 = 293257127
BaseRepresentation
bin100111000100…
…0101000000000
31102112121210100
41032020220000
520220420220
62011002400
7336045630
oct116105000
942477710
1020482560
111061a93a
126a39400
134321c77
142a126c0
151be8d90
hex1388a00

20482560 has 240 divisors, whose sum is σ = 81709056. Its totient is φ = 4644864.

The previous prime is 20482547. The next prime is 20482573. The reversal of 20482560 is 6528402.

20482560 is a `hidden beast` number, since 20 + 4 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (20482547) and next prime (20482573).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161217 + ... + 161343.

Almost surely, 220482560 is an apocalyptic number.

20482560 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 20482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854528).

20482560 is an abundant number, since it is smaller than the sum of its proper divisors (61226496).

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

20482560 is a wasteful number, since it uses less digits than its factorization.

20482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

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

The square root of 20482560 is about 4525.7662334681. The cubic root of 20482560 is about 273.6075508330.

The spelling of 20482560 in words is "twenty million, four hundred eighty-two thousand, five hundred sixty".