Search a number
-
+
20310220 = 2257239607
BaseRepresentation
bin100110101111…
…0100011001100
31102012212101101
41031132203030
520144411340
62003152444
7334430320
oct115364314
942185341
1020310220
1110512407
126975724
1342916a8
1429a9980
151bb2c9a
hex135e8cc

20310220 has 48 divisors (see below), whose sum is σ = 49029120. Its totient is φ = 6922944.

The previous prime is 20310217. The next prime is 20310247. The reversal of 20310220 is 2201302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20310197 and 20310206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33157 + ... + 33763.

It is an arithmetic number, because the mean of its divisors is an integer number (1021440).

Almost surely, 220310220 is an apocalyptic number.

20310220 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 20310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514560).

20310220 is an abundant number, since it is smaller than the sum of its proper divisors (28718900).

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

20310220 is a wasteful number, since it uses less digits than its factorization.

20310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20310220 is about 4506.6861439421. The cubic root of 20310220 is about 272.8380116622.

Adding to 20310220 its reverse (2201302), we get a palindrome (22511522).

The spelling of 20310220 in words is "twenty million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 607 956 1195 1214 1673 2390 2428 3035 3346 4249 4780 6070 6692 8365 8498 12140 16730 16996 21245 33460 42490 84980 145073 290146 580292 725365 1015511 1450730 2031022 2901460 4062044 5077555 10155110 20310220