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2006712 = 233247593
BaseRepresentation
bin111101001111010111000
310202221200200
413221322320
51003203322
6111002200
723025321
oct7517270
93687620
102006712
111150744
12809360
13553506
143a3448
152998ac
hex1e9eb8

2006712 has 48 divisors (see below), whose sum is σ = 5559840. Its totient is φ = 653568.

The previous prime is 2006707. The next prime is 2006779. The reversal of 2006712 is 2176002.

It is a happy number.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3088 + ... + 3680.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

22006712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779920).

2006712 is an abundant number, since it is smaller than the sum of its proper divisors (3553128).

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

2006712 is a wasteful number, since it uses less digits than its factorization.

2006712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2006712 is about 1416.5846250754. The cubic root of 2006712 is about 126.1328907825.

The spelling of 2006712 in words is "two million, six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 593 846 1128 1186 1692 1779 2372 3384 3558 4744 5337 7116 10674 14232 21348 27871 42696 55742 83613 111484 167226 222968 250839 334452 501678 668904 1003356 2006712