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2006260000 = 2554100313
BaseRepresentation
bin111011110010101…
…0001100100100000
312011211010120022221
41313211101210200
513102100310000
6531025040424
7100500633343
oct16745214440
95154116287
102006260000
1193a532918
1247ba86114
1325c8597c4
1415064845a
15bb1ec61a
hex77951920

2006260000 has 60 divisors (see below), whose sum is σ = 4935749742. Its totient is φ = 802496000.

The previous prime is 2006259977. The next prime is 2006260007. The reversal of 2006260000 is 626002.

It can be written as a sum of positive squares in 5 ways, for example, as 57214096 + 1949045904 = 7564^2 + 44148^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2006260007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30157 + ... + 70156.

Almost surely, 22006260000 is an apocalyptic number.

2006260000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006260000 is an abundant number, since it is smaller than the sum of its proper divisors (2929489742).

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

2006260000 is an equidigital number, since it uses as much as digits as its factorization.

2006260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100343 (or 100320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2006260000 is about 44791.2937968976. The cubic root of 2006260000 is about 1261.2341984234.

Adding to 2006260000 its reverse (626002), we get a palindrome (2006886002).

The spelling of 2006260000 in words is "two billion, six million, two hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 100313 200626 401252 501565 802504 1003130 1605008 2006260 2507825 3210016 4012520 5015650 8025040 10031300 12539125 16050080 20062600 25078250 40125200 50156500 62695625 80250400 100313000 125391250 200626000 250782500 401252000 501565000 1003130000 2006260000