Search a number
-
+
20814003 = 34736709
BaseRepresentation
bin100111101100…
…1100010110011
31110011110110000
41033121202303
520312022003
62022041043
7341626140
oct117314263
943143400
1020814003
1110826961
126b79183
134409aa2
142a9b3c7
151c621a3
hex13d98b3

20814003 has 20 divisors (see below), whose sum is σ = 35535280. Its totient is φ = 11893392.

The previous prime is 20813983. The next prime is 20814023. The reversal of 20814003 is 30041802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20813983) and next prime (20814023).

It is not a de Polignac number, because 20814003 - 25 = 20813971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17788 + ... + 18921.

It is an arithmetic number, because the mean of its divisors is an integer number (1776764).

Almost surely, 220814003 is an apocalyptic number.

20814003 is a deficient number, since it is larger than the sum of its proper divisors (14721277).

20814003 is an equidigital number, since it uses as much as digits as its factorization.

20814003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36728 (or 36719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20814003 is about 4562.2366225350. The cubic root of 20814003 is about 275.0754746007.

Adding to 20814003 its reverse (30041802), we get a palindrome (50855805).

It can be divided in two parts, 2081 and 4003, that added together give a square (6084 = 782).

The spelling of 20814003 in words is "twenty million, eight hundred fourteen thousand, three".

Divisors: 1 3 7 9 21 27 63 81 189 567 36709 110127 256963 330381 770889 991143 2312667 2973429 6938001 20814003