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20002008 = 2331364109
BaseRepresentation
bin100110001001…
…1010011011000
31101122012121010
41030103103120
520110031013
61552413520
7332004615
oct114232330
941565533
1020002008
1110321894
1268472a0
1341b4310
14292950c
151b517c3
hex13134d8

20002008 has 32 divisors (see below), whose sum is σ = 53852400. Its totient is φ = 6154368.

The previous prime is 20002007. The next prime is 20002027. The reversal of 20002008 is 80020002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20001984 and 20002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31743 + ... + 32366.

Almost surely, 220002008 is an apocalyptic number.

It is an amenable number.

20002008 is an abundant number, since it is smaller than the sum of its proper divisors (33850392).

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

20002008 is a wasteful number, since it uses less digits than its factorization.

20002008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64131 (or 64127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20002008 is about 4472.3604505898. The cubic root of 20002008 is about 271.4508456064.

The spelling of 20002008 in words is "twenty million, two thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 64109 128218 192327 256436 384654 512872 769308 833417 1538616 1666834 2500251 3333668 5000502 6667336 10001004 20002008