Search a number
-
+
20813310 = 2325733037
BaseRepresentation
bin100111101100…
…1010111111110
31110011102111100
41033121113332
520312011220
62022033530
7341624130
oct117312776
943142440
1020813310
1110826391
126b788a6
13440968b
142a9b050
151c61d90
hex13d95fe

20813310 has 48 divisors (see below), whose sum is σ = 61847136. Its totient is φ = 4757184.

The previous prime is 20813297. The next prime is 20813311. The reversal of 20813310 is 1331802.

It is a super-2 number, since 2×208133102 = 866387746312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20813311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15889 + ... + 17148.

It is an arithmetic number, because the mean of its divisors is an integer number (1288482).

Almost surely, 220813310 is an apocalyptic number.

20813310 is an abundant number, since it is smaller than the sum of its proper divisors (41033826).

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

20813310 is a wasteful number, since it uses less digits than its factorization.

20813310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33057 (or 33054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20813310 is about 4562.1606723131. The cubic root of 20813310 is about 275.0724216973.

The spelling of 20813310 in words is "twenty million, eight hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 33037 66074 99111 165185 198222 231259 297333 330370 462518 495555 594666 693777 991110 1156295 1387554 1486665 2081331 2312590 2973330 3468885 4162662 6937770 10406655 20813310