Search a number
-
+
20503420 = 22571371069
BaseRepresentation
bin100111000110…
…1101101111100
31102120200101221
41032031231330
520222102140
62011243124
7336163510
oct116155574
942520357
1020503420
1110634583
126a494a4
13432b602
142a1a140
151c0014a
hex138db7c

20503420 has 48 divisors (see below), whose sum is σ = 49613760. Its totient is φ = 6971904.

The previous prime is 20503409. The next prime is 20503429. The reversal of 20503420 is 2430502.

It is a junction number, because it is equal to n+sod(n) for n = 20503394 and 20503403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20503429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18646 + ... + 19714.

It is an arithmetic number, because the mean of its divisors is an integer number (1033620).

Almost surely, 220503420 is an apocalyptic number.

20503420 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 20503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24806880).

20503420 is an abundant number, since it is smaller than the sum of its proper divisors (29110340).

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

20503420 is a wasteful number, since it uses less digits than its factorization.

20503420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 20503420 is about 4528.0702291374. The cubic root of 20503420 is about 273.7004024600.

Adding to 20503420 its reverse (2430502), we get a palindrome (22933922).

The spelling of 20503420 in words is "twenty million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1069 1370 1918 2138 2740 3836 4276 4795 5345 7483 9590 10690 14966 19180 21380 29932 37415 74830 146453 149660 292906 585812 732265 1025171 1464530 2050342 2929060 4100684 5125855 10251710 20503420