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2007666 = 231017
BaseRepresentation
bin111101010001001110010
310210000000000
413222021302
51003221131
6111010430
723031153
oct7521162
93700000
102007666
111151431
12809a16
13553a8b
143a392a
15299ce6
hex1ea272

2007666 has 44 divisors (see below), whose sum is σ = 4782942. Its totient is φ = 629856.

The previous prime is 2007661. The next prime is 2007679. The reversal of 2007666 is 6667002.

It can be written as a sum of positive squares in only one way, i.e., 1476225 + 531441 = 1215^2 + 729^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007661) 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 21 ways as a sum of consecutive naturals, for example, 118090 + ... + 118106.

22007666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391471).

2007666 is an abundant number, since it is smaller than the sum of its proper divisors (2775276).

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

2007666 is an frugal number, since it uses more digits than its factorization.

2007666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2007666 is about 1416.9213104474. The cubic root of 2007666 is about 126.1528756656.

The spelling of 2007666 in words is "two million, seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2754 4131 4374 6561 8262 12393 13122 19683 24786 37179 39366 59049 74358 111537 118098 223074 334611 669222 1003833 2007666