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20408112 = 243529181
BaseRepresentation
bin100110111011…
…0011100110000
31102101211200000
41031312130300
520211024422
62005230000
7335315604
oct115663460
942354600
1020408112
1110579a0a
126a02300
1342c710a
1429d3504
151bd1cac
hex1376730

20408112 has 120 divisors (see below), whose sum is σ = 61610640. Its totient is φ = 6531840.

The previous prime is 20408081. The next prime is 20408117. The reversal of 20408112 is 21180402.

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

It is not an unprimeable number, because it can be changed into a prime (20408117) 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 23 ways as a sum of consecutive naturals, for example, 112662 + ... + 112842.

It is an arithmetic number, because the mean of its divisors is an integer number (513422).

Almost surely, 220408112 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 20408112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30805320).

20408112 is an abundant number, since it is smaller than the sum of its proper divisors (41202528).

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

20408112 is a wasteful number, since it uses less digits than its factorization.

20408112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20408112 is about 4517.5338404931. The cubic root of 20408112 is about 273.2756544300.

Adding to 20408112 its reverse (21180402), we get a palindrome (41588514).

The spelling of 20408112 in words is "twenty million, four hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 181 216 232 243 261 324 348 362 432 464 486 522 543 648 696 724 783 972 1044 1086 1296 1392 1448 1566 1629 1944 2088 2172 2349 2896 3132 3258 3888 4176 4344 4698 4887 5249 6264 6516 7047 8688 9396 9774 10498 12528 13032 14094 14661 15747 18792 19548 20996 26064 28188 29322 31494 37584 39096 41992 43983 47241 56376 58644 62988 78192 83984 87966 94482 112752 117288 125976 141723 175932 188964 234576 251952 283446 351864 377928 425169 566892 703728 755856 850338 1133784 1275507 1700676 2267568 2551014 3401352 5102028 6802704 10204056 20408112