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26003920 = 245536133
BaseRepresentation
bin110001100110…
…0100111010000
31210221010200011
41203030213100
523124111140
62325204304
7434013115
oct143144720
953833604
1026003920
1113751148
128860694
135506147
14364c90c
152439cea
hex18cc9d0

26003920 has 40 divisors (see below), whose sum is σ = 61609896. Its totient is φ = 10203648.

The previous prime is 26003909. The next prime is 26003921. The reversal of 26003920 is 2930062.

It can be written as a sum of positive squares in 4 ways, for example, as 11806096 + 14197824 = 3436^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 26003891 and 26003900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26003921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1174 + ... + 7306.

Almost surely, 226003920 is an apocalyptic number.

26003920 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 26003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30804948).

26003920 is an abundant number, since it is smaller than the sum of its proper divisors (35605976).

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

26003920 is a wasteful number, since it uses less digits than its factorization.

26003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 26003920 is about 5099.4038867303. The cubic root of 26003920 is about 296.2644945343.

Adding to 26003920 its reverse (2930062), we get a palindrome (28933982).

The spelling of 26003920 in words is "twenty-six million, three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 6133 12266 24532 30665 49064 61330 98128 122660 245320 325049 490640 650098 1300196 1625245 2600392 3250490 5200784 6500980 13001960 26003920