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2006014240 = 25512537589
BaseRepresentation
bin111011110010001…
…0101100100100000
312011210200002012201
41313210111210200
513102014423430
6531015502544
7100465561006
oct16744254440
95153602181
102006014240
1193a38520a
1247b987a54
1325c7a1999
141505c2a76
15bb19e8ca
hex77915920

2006014240 has 24 divisors (see below), whose sum is σ = 4739209020. Its totient is φ = 802405632.

The previous prime is 2006014201. The next prime is 2006014259. The reversal of 2006014240 is 424106002.

It can be written as a sum of positive squares in 2 ways, for example, as 1921594896 + 84419344 = 43836^2 + 9188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6268635 + ... + 6268954.

Almost surely, 22006014240 is an apocalyptic number.

2006014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006014240 is an abundant number, since it is smaller than the sum of its proper divisors (2733194780).

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

2006014240 is a wasteful number, since it uses less digits than its factorization.

2006014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537604 (or 12537596 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2006014240 is about 44788.5503225992. The cubic root of 2006014240 is about 1261.1826973594.

The spelling of 2006014240 in words is "two billion, six million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12537589 25075178 50150356 62687945 100300712 125375890 200601424 250751780 401202848 501503560 1003007120 2006014240