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2006204310 = 2325112026469
BaseRepresentation
bin111011110010100…
…0011111110010110
312011211000201221100
41313211003332112
513102042014220
6531023530530
7100500312105
oct16745037626
95154021840
102006204310
1193a4a4aa0
1247ba59a46
1325c83a356
1415063203c
15bb1dad90
hex77943f96

2006204310 has 48 divisors (see below), whose sum is σ = 5690327760. Its totient is φ = 486352320.

The previous prime is 2006204303. The next prime is 2006204363. The reversal of 2006204310 is 134026002.

It is a happy number.

2006204310 is a `hidden beast` number, since 2 + 0 + 0 + 620 + 43 + 1 + 0 = 666.

It is a super-2 number, since 2×20062043102 = 8049711466925152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012245 + ... + 1014224.

It is an arithmetic number, because the mean of its divisors is an integer number (118548495).

Almost surely, 22006204310 is an apocalyptic number.

2006204310 is an abundant number, since it is smaller than the sum of its proper divisors (3684123450).

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

2006204310 is a wasteful number, since it uses less digits than its factorization.

2006204310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026493 (or 2026490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2006204310 is about 44790.6721315945. The cubic root of 2006204310 is about 1261.2225284866. Note that the first 3 decimals are identical.

The spelling of 2006204310 in words is "two billion, six million, two hundred four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2026469 4052938 6079407 10132345 12158814 18238221 20264690 22291159 30397035 36476442 44582318 60794070 66873477 91191105 111455795 133746954 182382210 200620431 222911590 334367385 401240862 668734770 1003102155 2006204310