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20001310 = 257240819
BaseRepresentation
bin100110001001…
…1001000011110
31101122011122021
41030103020132
520110020220
61552410354
7332002600
oct114231036
941564567
1020001310
111032130a
1268469ba
1341b3bc4
142929170
151b514aa
hex131321e

20001310 has 24 divisors (see below), whose sum is σ = 41881320. Its totient is φ = 6857424.

The previous prime is 20001307. The next prime is 20001341. The reversal of 20001310 is 1310002.

It is a super-2 number, since 2×200013102 = 800104803432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 20001293 and 20001302.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19920 + ... + 20899.

It is an arithmetic number, because the mean of its divisors is an integer number (1745055).

Almost surely, 220001310 is an apocalyptic number.

20001310 is an abundant number, since it is smaller than the sum of its proper divisors (21880010).

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

20001310 is a wasteful number, since it uses less digits than its factorization.

20001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40840 (or 40833 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 20001310 is about 4472.2824150539. The cubic root of 20001310 is about 271.4476880086.

Adding to 20001310 its reverse (1310002), we get a palindrome (21311312).

The spelling of 20001310 in words is "twenty million, one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 40819 81638 204095 285733 408190 571466 1428665 2000131 2857330 4000262 10000655 20001310