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2020201400 = 235275601
BaseRepresentation
bin111100001101001…
…1101001110111000
312012210100212100002
41320122131032320
513114132421100
6532243532132
7101030300000
oct17032351670
95183325302
102020201400
11947395238
1248468a048
132626cb359
14152437000
15bc5532d5
hex7869d3b8

2020201400 has 144 divisors (see below), whose sum is σ = 5488867440. Its totient is φ = 691488000.

The previous prime is 2020201387. The next prime is 2020201439. The reversal of 2020201400 is 41020202.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3361100 + ... + 3361700.

It is an arithmetic number, because the mean of its divisors is an integer number (38117135).

Almost surely, 22020201400 is an apocalyptic number.

2020201400 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 2020201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744433720).

2020201400 is an abundant number, since it is smaller than the sum of its proper divisors (3468666040).

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

2020201400 is an frugal number, since it uses more digits than its factorization.

2020201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2020201400 is about 44946.6505982370. The cubic root of 2020201400 is about 1264.1488752035.

Adding to 2020201400 its reverse (41020202), we get a palindrome (2061221602).

The spelling of 2020201400 in words is "two billion, twenty million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 601 686 700 980 1202 1225 1372 1400 1715 1960 2401 2404 2450 2744 3005 3430 4207 4802 4808 4900 6010 6860 8414 8575 9604 9800 12005 12020 13720 15025 16807 16828 17150 19208 21035 24010 24040 29449 30050 33614 33656 34300 42070 48020 58898 60025 60100 67228 68600 84035 84140 96040 105175 117796 120050 120200 134456 147245 168070 168280 206143 210350 235592 240100 294490 336140 412286 420175 420700 480200 588980 672280 736225 824572 840350 841400 1030715 1177960 1443001 1472450 1649144 1680700 2061430 2886002 2944900 3361400 4122860 5153575 5772004 5889800 7215005 8245720 10101007 10307150 11544008 14430010 20202014 20614300 28860020 36075025 40404028 41228600 50505035 57720040 72150050 80808056 101010070 144300100 202020140 252525175 288600200 404040280 505050350 1010100700 2020201400