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2071050000 = 2435513807
BaseRepresentation
bin111101101110001…
…1011011100010000
312100100001020111120
41323130123130100
513220142100000
6541301442240
7102215430435
oct17334333420
95310036446
102071050000
11973065578
12499710380
132700c2a96
141590b1b8c
15c1c496a0
hex7b71b710

2071050000 has 120 divisors (see below), whose sum is σ = 6687821952. Its totient is φ = 552240000.

The previous prime is 2071049987. The next prime is 2071050001. The reversal of 2071050000 is 501702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2071050001) 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, 143097 + ... + 156903.

Almost surely, 22071050000 is an apocalyptic number.

2071050000 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 2071050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343910976).

2071050000 is an abundant number, since it is smaller than the sum of its proper divisors (4616771952).

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

2071050000 is an equidigital number, since it uses as much as digits as its factorization.

2071050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 2071050000 is about 45508.7903596657. The cubic root of 2071050000 is about 1274.6673488196.

Adding to 2071050000 its reverse (501702), we get a palindrome (2071551702).

The spelling of 2071050000 in words is "two billion, seventy-one million, fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 13807 15000 18750 25000 27614 30000 37500 41421 50000 55228 69035 75000 82842 110456 138070 150000 165684 207105 220912 276140 331368 345175 414210 552280 662736 690350 828420 1035525 1104560 1380700 1656840 1725875 2071050 2761400 3313680 3451750 4142100 5177625 5522800 6903500 8284200 8629375 10355250 13807000 16568400 17258750 20710500 25888125 27614000 34517500 41421000 43146875 51776250 69035000 82842000 86293750 103552500 129440625 138070000 172587500 207105000 258881250 345175000 414210000 517762500 690350000 1035525000 2071050000