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20441520 = 24325112989
BaseRepresentation
bin100110111111…
…0100110110000
31102110112111100
41031332212300
520213112040
62010044400
7335515161
oct115764660
942415440
1020441520
11105a2020
126a19700
134309398
142a01768
151bdbb30
hex137e9b0

20441520 has 240 divisors, whose sum is σ = 78343200. Its totient is φ = 4730880.

The previous prime is 20441471. The next prime is 20441563. The reversal of 20441520 is 2514402.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20441493 and 20441502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229636 + ... + 229724.

It is an arithmetic number, because the mean of its divisors is an integer number (326430).

Almost surely, 220441520 is an apocalyptic number.

20441520 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 20441520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

20441520 is an abundant number, since it is smaller than the sum of its proper divisors (57901680).

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

20441520 is a wasteful number, since it uses less digits than its factorization.

20441520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20441520 is about 4521.2299211608. The cubic root of 20441520 is about 273.4246901972.

Adding to 20441520 its reverse (2514402), we get a palindrome (22955922).

The spelling of 20441520 in words is "twenty million, four hundred forty-one thousand, five hundred twenty".