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20480020 = 22511127733
BaseRepresentation
bin100111000100…
…0000000010100
31102112111022021
41032020000110
520220330040
62010542524
7336035341
oct116100024
942474267
1020480020
1110618a40
126a37a44
134320a72
142a117c8
151be824a
hex1388014

20480020 has 48 divisors (see below), whose sum is σ = 47351808. Its totient is φ = 7378560.

The previous prime is 20480011. The next prime is 20480027. The reversal of 20480020 is 2008402.

It is a junction number, because it is equal to n+sod(n) for n = 20479976 and 20480003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20480027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27574 + ... + 28306.

It is an arithmetic number, because the mean of its divisors is an integer number (986496).

Almost surely, 220480020 is an apocalyptic number.

20480020 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 20480020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675904).

20480020 is an abundant number, since it is smaller than the sum of its proper divisors (26871788).

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

20480020 is a wasteful number, since it uses less digits than its factorization.

20480020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 20480020 is about 4525.4856093021. The cubic root of 20480020 is about 273.5962405295.

Adding to 20480020 its reverse (2008402), we get a palindrome (22488422).

It can be divided in two parts, 204800 and 20, that multiplied together give a cube (4096000 = 1603).

The spelling of 20480020 in words is "twenty million, four hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 733 1270 1397 1466 2540 2794 2932 3665 5588 6985 7330 8063 13970 14660 16126 27940 32252 40315 80630 93091 161260 186182 372364 465455 930910 1024001 1861820 2048002 4096004 5120005 10240010 20480020