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20163024 = 2432783241
BaseRepresentation
bin100110011101…
…0100111010000
31101221101110200
41030322213100
520130204044
62000055200
7333245220
oct114724720
941841420
1020163024
1110421862
126904500
13423c6ab
14296c080
151b84369
hex133a9d0

20163024 has 120 divisors (see below), whose sum is σ = 65537472. Its totient is φ = 5667840.

The previous prime is 20163023. The next prime is 20163041. The reversal of 20163024 is 42036102.

It is a happy number.

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

20163024 is a modest number, since divided by 3024 gives 2016 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20162988 and 20163006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20163023) 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, 83544 + ... + 83784.

Almost surely, 220163024 is an apocalyptic number.

20163024 is a gapful number since it is divisible by the number (24) 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 20163024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768736).

20163024 is an abundant number, since it is smaller than the sum of its proper divisors (45374448).

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

20163024 is a wasteful number, since it uses less digits than its factorization.

20163024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20163024 is about 4490.3256006664. The cubic root of 20163024 is about 272.1772921420.

Adding to 20163024 its reverse (42036102), we get a palindrome (62199126).

The spelling of 20163024 in words is "twenty million, one hundred sixty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 241 249 252 332 336 482 498 504 581 664 723 747 964 996 1008 1162 1328 1446 1494 1687 1743 1928 1992 2169 2324 2892 2988 3374 3486 3856 3984 4338 4648 5061 5229 5784 5976 6748 6972 8676 9296 10122 10458 11568 11952 13496 13944 15183 17352 20003 20244 20916 26992 27888 30366 34704 40006 40488 41832 60009 60732 80012 80976 83664 120018 121464 140021 160024 180027 240036 242928 280042 320048 360054 420063 480072 560084 720108 840126 960144 1120168 1260189 1440216 1680252 2240336 2520378 2880432 3360504 5040756 6721008 10081512 20163024