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2006267140 = 225839119563
BaseRepresentation
bin111011110010101…
…0011010100000100
312011211010221010101
41313211103110010
513102101022030
6531025133444
7100500663223
oct16745232404
95154127111
102006267140
1193a538219
1247ba8a284
1325c85cb27
1415064acba
15bb1ee7ca
hex77953504

2006267140 has 24 divisors (see below), whose sum is σ = 4218217920. Its totient is φ = 801543648.

The previous prime is 2006267129. The next prime is 2006267147. The reversal of 2006267140 is 417626002.

It is a junction number, because it is equal to n+sod(n) for n = 2006267099 and 2006267108.

It is not an unprimeable number, because it can be changed into a prime (2006267147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43002 + ... + 76561.

It is an arithmetic number, because the mean of its divisors is an integer number (175759080).

Almost surely, 22006267140 is an apocalyptic number.

2006267140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006267140 is an abundant number, since it is smaller than the sum of its proper divisors (2211950780).

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

2006267140 is a wasteful number, since it uses less digits than its factorization.

2006267140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120411 (or 120409 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2006267140 is about 44791.3734998158. The cubic root of 2006267140 is about 1261.2356946073.

The spelling of 2006267140 in words is "two billion, six million, two hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 839 1678 3356 4195 8390 16780 119563 239126 478252 597815 1195630 2391260 100313357 200626714 401253428 501566785 1003133570 2006267140