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2000921200 = 245237313411
BaseRepresentation
bin111011101000011…
…1010001001110000
312011110002022212121
41313100322021300
513044213434300
6530314404024
7100404356335
oct16720721160
95143068777
102000921200
11937516793
1247a130614
1325b70a755
1414da5898c
15ba9e581a
hex7743a270

2000921200 has 60 divisors (see below), whose sum is σ = 4820460568. Its totient is φ = 798163200.

The previous prime is 2000921191. The next prime is 2000921203. The reversal of 2000921200 is 21290002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000921203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142495 + ... + 155905.

Almost surely, 22000921200 is an apocalyptic number.

2000921200 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 2000921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410230284).

2000921200 is an abundant number, since it is smaller than the sum of its proper divisors (2819539368).

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

2000921200 is a wasteful number, since it uses less digits than its factorization.

2000921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13802 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2000921200 is about 44731.6576934055. The cubic root of 2000921200 is about 1260.1144600815.

It can be divided in two parts, 20009 and 21200, that added together give a square (41209 = 2032).

The spelling of 2000921200 in words is "two billion, nine hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 373 400 746 1492 1865 2984 3730 5968 7460 9325 13411 14920 18650 26822 29840 37300 53644 67055 74600 107288 134110 149200 214576 268220 335275 536440 670550 1072880 1341100 2682200 5002303 5364400 10004606 20009212 25011515 40018424 50023030 80036848 100046060 125057575 200092120 250115150 400184240 500230300 1000460600 2000921200