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18021024 = 2532721277
BaseRepresentation
bin100010010111…
…1101010100000
31020220120012100
41010233222200
514103133044
61442130400
7306114300
oct104575240
936816170
1018021024
11a19950a
126050a00
13396c738
142571600
1518ae869
hex112faa0

18021024 has 108 divisors (see below), whose sum is σ = 59660874. Its totient is φ = 5144832.

The previous prime is 18020993. The next prime is 18021053. The reversal of 18021024 is 42012081.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 3732624 = 3780^2 + 1932^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 18020988 and 18021006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13474 + ... + 14750.

Almost surely, 218021024 is an apocalyptic number.

18021024 is a gapful number since it is divisible by the number (14) 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 18021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29830437).

18021024 is an abundant number, since it is smaller than the sum of its proper divisors (41639850).

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

18021024 is a wasteful number, since it uses less digits than its factorization.

18021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1289 counting only the distinct ones).

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

The square root of 18021024 is about 4245.1176662137. The cubic root of 18021024 is about 262.1761339196.

Subtracting from 18021024 its sum of digits (18), we obtain a triangular number (18021006 = T6003).

The spelling of 18021024 in words is "eighteen million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1277 1568 1764 2016 2352 2554 3528 3831 4704 5108 7056 7662 8939 10216 11493 14112 15324 17878 20432 22986 26817 30648 35756 40864 45972 53634 61296 62573 71512 80451 91944 107268 122592 125146 143024 160902 183888 187719 214536 250292 286048 321804 367776 375438 429072 500584 563157 643608 750876 858144 1001168 1126314 1287216 1501752 2002336 2252628 2574432 3003504 4505256 6007008 9010512 18021024