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2985906 = 2371123281
BaseRepresentation
bin1011011000111110110010
312121200220010
423120332302
51231022111
6143555350
734244160
oct13307662
95550803
102985906
11175a3a0
12bbbb56
13807111
1457a230
153deaa6
hex2d8fb2

2985906 has 64 divisors (see below), whose sum is σ = 7796736. Its totient is φ = 739200.

The previous prime is 2985901. The next prime is 2985943. The reversal of 2985906 is 6095892.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2985901) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10486 + ... + 10766.

It is an arithmetic number, because the mean of its divisors is an integer number (121824).

22985906 is an apocalyptic number.

2985906 is the 924-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898368).

2985906 is an abundant number, since it is smaller than the sum of its proper divisors (4810830).

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

2985906 is a wasteful number, since it uses less digits than its factorization.

2985906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2985906 is about 1727.9774304082. The cubic root of 2985906 is about 143.9987461311.

The spelling of 2985906 in words is "two million, nine hundred eighty-five thousand, nine hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 281 322 462 483 506 562 759 843 966 1518 1686 1771 1967 3091 3542 3934 5313 5901 6182 6463 9273 10626 11802 12926 18546 19389 21637 38778 43274 45241 64911 71093 90482 129822 135723 142186 213279 271446 426558 497651 995302 1492953 2985906