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2007006 = 231672003
BaseRepresentation
bin111101001111111011110
310202222002120
413221333132
51003211011
6111003410
723026221
oct7517736
93688076
102007006
111150991
12809566
135536a1
143a35b8
15299a06
hex1e9fde

2007006 has 16 divisors (see below), whose sum is σ = 4040064. Its totient is φ = 664664.

The previous prime is 2007001. The next prime is 2007011. The reversal of 2007006 is 6007002.

2007006 is a nontrivial binomial coefficient, being equal to C(2004, 2).

It is an interprime number because it is at equal distance from previous prime (2007001) and next prime (2007011).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007001) 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, 1 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (252504).

22007006 is an apocalyptic number.

2007006 is the 2003-rd triangular number and also the 1002-nd hexagonal number.

2007006 is an abundant number, since it is smaller than the sum of its proper divisors (2033058).

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

2007006 is a wasteful number, since it uses less digits than its factorization.

2007006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2007006 is about 1416.6883919903. The cubic root of 2007006 is about 126.1390503209.

The spelling of 2007006 in words is "two million, seven thousand, six".

Divisors: 1 2 3 6 167 334 501 1002 2003 4006 6009 12018 334501 669002 1003503 2007006