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2020130190 = 2325133155697
BaseRepresentation
bin111100001101000…
…1011110110001110
312012210020020122200
41320122023312032
513114123131230
6532242222330
7101026552251
oct17032136616
95183206580
102020130190
11947346791
124846549a6
132626a4b10
14152419098
15bc53c160
hex7868bd8e

2020130190 has 96 divisors (see below), whose sum is σ = 5838932736. Its totient is φ = 481213440.

The previous prime is 2020130149. The next prime is 2020130191. The reversal of 2020130190 is 910310202.

It is a happy number.

It is a super-2 number, since 2×20201301902 = 8161851969098872200, 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 (2020130191) 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 47 ways as a sum of consecutive naturals, for example, 8422 + ... + 64118.

It is an arithmetic number, because the mean of its divisors is an integer number (60822216).

Almost surely, 22020130190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020130190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919466368).

2020130190 is an abundant number, since it is smaller than the sum of its proper divisors (3818802546).

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

2020130190 is a wasteful number, since it uses less digits than its factorization.

2020130190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55754 (or 55751 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2020130190 is about 44945.8584298932. The cubic root of 2020130190 is about 1264.1340217176.

Adding to 2020130190 its reverse (910310202), we get a palindrome (2930440392).

The spelling of 2020130190 in words is "two billion, twenty million, one hundred thirty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 12090 18135 36270 55697 111394 167091 278485 334182 501273 556970 724061 835455 1002546 1448122 1670910 1726607 2172183 2506365 3453214 3620305 4344366 5012730 5179821 6516549 7240610 8633035 10359642 10860915 13033098 15539463 17266070 21721830 22445891 25899105 31078926 32582745 44891782 51798210 65165490 67337673 77697315 112229455 134675346 155394630 202013019 224458910 336688365 404026038 673376730 1010065095 2020130190