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20858112 = 283211823
BaseRepresentation
bin100111110010…
…0010100000000
31110020200221200
41033210110000
520314424422
62023021200
7342201552
oct117442400
943220850
1020858112
1110857010
126b9a800
134423ba2
142aad4d2
151c702ac
hex13e4500

20858112 has 108 divisors (see below), whose sum is σ = 65685984. Its totient is φ = 6312960.

The previous prime is 20858111. The next prime is 20858119. The reversal of 20858112 is 21185802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20858111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24933 + ... + 25755.

Almost surely, 220858112 is an apocalyptic number.

20858112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20858112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32842992).

20858112 is an abundant number, since it is smaller than the sum of its proper divisors (44827872).

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

20858112 is a wasteful number, since it uses less digits than its factorization.

20858112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 20858112 is about 4567.0682061909. The cubic root of 20858112 is about 275.2696506597.

The spelling of 20858112 in words is "twenty million, eight hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 823 1056 1152 1408 1584 1646 2112 2304 2469 2816 3168 3292 4224 4938 6336 6584 7407 8448 9053 9876 12672 13168 14814 18106 19752 25344 26336 27159 29628 36212 39504 52672 54318 59256 72424 79008 81477 105344 108636 118512 144848 158016 162954 210688 217272 237024 289696 316032 325908 434544 474048 579392 632064 651816 869088 948096 1158784 1303632 1738176 1896192 2317568 2607264 3476352 5214528 6952704 10429056 20858112