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2006312 = 237113257
BaseRepresentation
bin111101001110100101000
310202221010212
413221310220
51003200222
6111000252
723024210
oct7516450
93687125
102006312
111150410
12809088
13553289
143a3240
152996e2
hex1e9d28

2006312 has 32 divisors (see below), whose sum is σ = 4691520. Its totient is φ = 781440.

The previous prime is 2006299. The next prime is 2006317. The reversal of 2006312 is 2136002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2006317) 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, 1013 + ... + 2244.

It is an arithmetic number, because the mean of its divisors is an integer number (146610).

22006312 is an apocalyptic number.

2006312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2006312 is an abundant number, since it is smaller than the sum of its proper divisors (2685208).

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

2006312 is a wasteful number, since it uses less digits than its factorization.

2006312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2006312 is about 1416.4434333922. The cubic root of 2006312 is about 126.1245094919.

The spelling of 2006312 in words is "two million, six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 3257 6514 13028 22799 26056 35827 45598 71654 91196 143308 182392 250789 286616 501578 1003156 2006312