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2006300032 = 27112129539
BaseRepresentation
bin111011110010101…
…1011010110000000
312011211012121020121
41313211123112000
513102103100112
6531025550024
7100501161142
oct16745332600
95154177217
102006300032
1193a55aa00
1247baa5314
1325c871aa9
14150658c92
15bb209407
hex7795b580

2006300032 has 48 divisors (see below), whose sum is σ = 4393349100. Its totient is φ = 911947520.

The previous prime is 2006299993. The next prime is 2006300039. The reversal of 2006300032 is 2300036002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2006299979 and 2006300015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006300039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49282 + ... + 80257.

Almost surely, 22006300032 is an apocalyptic number.

2006300032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2006300032 is an abundant number, since it is smaller than the sum of its proper divisors (2387049068).

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

2006300032 is a wasteful number, since it uses less digits than its factorization.

2006300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129575 (or 129552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2006300032 is about 44791.7406672257. The cubic root of 2006300032 is about 1261.2425870656.

Adding to 2006300032 its reverse (2300036002), we get a palindrome (4306336034).

The spelling of 2006300032 in words is "two billion, six million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 129539 259078 518156 1036312 1424929 2072624 2849858 4145248 5699716 8290496 11399432 15674219 16580992 22798864 31348438 45597728 62696876 91195456 125393752 182390912 250787504 501575008 1003150016 2006300032