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2009050240 = 2753139141
BaseRepresentation
bin111011110111111…
…1010110010000000
312012000101022211011
41313233322302000
513103304101430
6531204530304
7100533434221
oct16757726200
95160338734
102009050240
119410691aa
124809b0994
132602c5832
14150b73248
15bb59e22a
hex77bfac80

2009050240 has 32 divisors (see below), whose sum is σ = 4802887260. Its totient is φ = 803619840.

The previous prime is 2009050231. The next prime is 2009050249. The reversal of 2009050240 is 420509002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2009050231) and next prime (2009050249).

It can be written as a sum of positive squares in 2 ways, for example, as 1858644544 + 150405696 = 43112^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2009050249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1568931 + ... + 1570210.

Almost surely, 22009050240 is an apocalyptic number.

2009050240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009050240 is an abundant number, since it is smaller than the sum of its proper divisors (2793837020).

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

2009050240 is an equidigital number, since it uses as much as digits as its factorization.

2009050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139160 (or 3139148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2009050240 is about 44822.4300992260. The cubic root of 2009050240 is about 1261.8186218335.

Adding to 2009050240 its reverse (420509002), we get a palindrome (2429559242).

The spelling of 2009050240 in words is "two billion, nine million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3139141 6278282 12556564 15695705 25113128 31391410 50226256 62782820 100452512 125565640 200905024 251131280 401810048 502262560 1004525120 2009050240