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20444112 = 24321367163
BaseRepresentation
bin100110111111…
…1001111010000
31102110200001100
41031333033100
520213202422
62010104400
7335525553
oct115771720
942420040
1020444112
11105a3a67
126a1b100
13430a610
142a0269a
151bdc7ac
hex137f3d0

20444112 has 120 divisors (see below), whose sum is σ = 62919584. Its totient is φ = 6158592.

The previous prime is 20444111. The next prime is 20444113. The reversal of 20444112 is 21144402.

It is an interprime number because it is at equal distance from previous prime (20444111) and next prime (20444113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125343 + ... + 125505.

Almost surely, 220444112 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 20444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31459792).

20444112 is an abundant number, since it is smaller than the sum of its proper divisors (42475472).

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

20444112 is a wasteful number, since it uses less digits than its factorization.

20444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20444112 is about 4521.5165597397. The cubic root of 20444112 is about 273.4362465270.

Adding to 20444112 its reverse (21144402), we get a palindrome (41588514).

The spelling of 20444112 in words is "twenty million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 163 201 208 234 268 312 326 402 468 489 536 603 624 652 804 871 936 978 1072 1206 1304 1467 1608 1742 1872 1956 2119 2412 2608 2613 2934 3216 3484 3912 4238 4824 5226 5868 6357 6968 7824 7839 8476 9648 10452 10921 11736 12714 13936 15678 16952 19071 20904 21842 23472 25428 31356 32763 33904 38142 41808 43684 50856 62712 65526 76284 87368 98289 101712 125424 131052 141973 152568 174736 196578 262104 283946 305136 393156 425919 524208 567892 786312 851838 1135784 1277757 1572624 1703676 2271568 2555514 3407352 5111028 6814704 10222056 20444112