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2086812 = 223273132
BaseRepresentation
bin111111101011110011100
310221000120100
413331132130
51013234222
6112421100
723511000
oct7753634
93830510
102086812
1111a5942
12847790
13580b00
143c4700
152b34ac
hex1fd79c

2086812 has 108 divisors (see below), whose sum is σ = 6661200. Its totient is φ = 550368.

The previous prime is 2086793. The next prime is 2086817. The reversal of 2086812 is 2186802.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160518 + ... + 160530.

22086812 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 2086812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330600).

2086812 is an abundant number, since it is smaller than the sum of its proper divisors (4574388).

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

2086812 is a wasteful number, since it uses less digits than its factorization.

2086812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2086812 is about 1444.5802158413. The cubic root of 2086812 is about 127.7892854720.

The spelling of 2086812 in words is "two million, eighty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 169 182 196 234 252 273 294 338 343 364 441 468 507 546 588 637 676 686 819 882 1014 1029 1092 1183 1274 1372 1521 1638 1764 1911 2028 2058 2366 2548 3042 3087 3276 3549 3822 4116 4459 4732 5733 6084 6174 7098 7644 8281 8918 10647 11466 12348 13377 14196 16562 17836 21294 22932 24843 26754 33124 40131 42588 49686 53508 57967 74529 80262 99372 115934 149058 160524 173901 231868 298116 347802 521703 695604 1043406 2086812