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2005046040 = 233538942953
BaseRepresentation
bin111011110000010…
…1001001100011000
312011201211220002110
41313200221030120
513101242433130
6530543032320
7100454416164
oct16740511430
95151756073
102005046040
11939883848
1247b59b6a0
1325c52309a
1415040dca4
15bb05cab0
hex77829318

2005046040 has 64 divisors (see below), whose sum is σ = 6030741600. Its totient is φ = 533292032.

The previous prime is 2005046033. The next prime is 2005046047. The reversal of 2005046040 is 406405002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005046033) and next prime (2005046047).

It is a junction number, because it is equal to n+sod(n) for n = 2005045998 and 2005046016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005046047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25204 + ... + 68156.

Almost surely, 22005046040 is an apocalyptic number.

2005046040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005046040 is an abundant number, since it is smaller than the sum of its proper divisors (4025695560).

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

2005046040 is a wasteful number, since it uses less digits than its factorization.

2005046040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43356 (or 43352 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2005046040 is about 44777.7404521488. The cubic root of 2005046040 is about 1260.9797620119.

The spelling of 2005046040 in words is "two billion, five million, forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 11670 15560 23340 42953 46680 85906 128859 171812 214765 257718 343624 429530 515436 644295 859060 1030872 1288590 1718120 2577180 5154360 16708717 33417434 50126151 66834868 83543585 100252302 133669736 167087170 200504604 250630755 334174340 401009208 501261510 668348680 1002523020 2005046040