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2020000000 = 2857101
BaseRepresentation
bin111100001100110…
…1100000100000000
312012202222122001211
41320121230010000
513114110000000
6532235335504
7101025500554
oct17031540400
95182878054
102020000000
11947267997
124845b1594
1326265a795
141523c3864
15bc5137ba
hex7866c100

2020000000 has 144 divisors (see below), whose sum is σ = 5090026032. Its totient is φ = 800000000.

The previous prime is 2019999911. The next prime is 2020000039. The reversal of 2020000000 is 202.

It can be written as a sum of positive squares in 8 ways, for example, as 1937408256 + 82591744 = 44016^2 + 9088^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999950 + ... + 20000050.

It is an arithmetic number, because the mean of its divisors is an integer number (35347403).

Almost surely, 22020000000 is an apocalyptic number.

2020000000 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 2020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545013016).

2020000000 is an abundant number, since it is smaller than the sum of its proper divisors (3070026032).

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

2020000000 is an frugal number, since it uses more digits than its factorization.

2020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 2020000000 is about 44944.4101084885. The cubic root of 2020000000 is about 1264.1068648633.

Adding to 2020000000 its reverse (202), we get a palindrome (2020000202).

2020000000 divided by its reverse (202) gives a 7-th power (10000000 = 107).

It can be divided in two parts, 20 and 20000000, that multiplied together give a square (400000000 = 200002).

The spelling of 2020000000 in words is "two billion, twenty million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 256 320 400 404 500 505 625 640 800 808 1000 1010 1250 1280 1600 1616 2000 2020 2500 2525 3125 3200 3232 4000 4040 5000 5050 6250 6400 6464 8000 8080 10000 10100 12500 12625 12928 15625 16000 16160 20000 20200 25000 25250 25856 31250 32000 32320 40000 40400 50000 50500 62500 63125 64640 78125 80000 80800 100000 101000 125000 126250 129280 156250 160000 161600 200000 202000 250000 252500 312500 315625 323200 400000 404000 500000 505000 625000 631250 646400 800000 808000 1000000 1010000 1250000 1262500 1578125 1616000 2000000 2020000 2500000 2525000 3156250 3232000 4000000 4040000 5000000 5050000 6312500 7890625 8080000 10000000 10100000 12625000 15781250 16160000 20000000 20200000 25250000 31562500 40400000 50500000 63125000 80800000 101000000 126250000 202000000 252500000 404000000 505000000 1010000000 2020000000