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2006240000 = 285412539
BaseRepresentation
bin111011110010100…
…1100101100000000
312011211002112220012
41313211030230000
513102044140000
6531024404052
7100500521132
oct16745145400
95154075805
102006240000
1193a519896
1247ba76628
1325c85067b
14150641052
15bb1e6735
hex7794cb00

2006240000 has 90 divisors (see below), whose sum is σ = 5004601140. Its totient is φ = 802432000.

The previous prime is 2006239993. The next prime is 2006240017. The reversal of 2006240000 is 426002.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153731 + ... + 166269.

Almost surely, 22006240000 is an apocalyptic number.

2006240000 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 2006240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502300570).

2006240000 is an abundant number, since it is smaller than the sum of its proper divisors (2998361140).

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

2006240000 is an frugal number, since it uses more digits than its factorization.

2006240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2006240000 is about 44791.0705386688. The cubic root of 2006240000 is about 1261.2300074133.

Adding to 2006240000 its reverse (426002), we get a palindrome (2006666002).

The spelling of 2006240000 in words is "two billion, six million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 12539 16000 20000 25078 32000 40000 50156 62695 80000 100312 125390 160000 200624 250780 313475 401248 501560 626950 802496 1003120 1253900 1567375 1604992 2006240 2507800 3134750 3209984 4012480 5015600 6269500 7836875 8024960 10031200 12539000 15673750 16049920 20062400 25078000 31347500 40124800 50156000 62695000 80249600 100312000 125390000 200624000 250780000 401248000 501560000 1003120000 2006240000