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21242340 = 22325723733
BaseRepresentation
bin101000100001…
…0000111100100
31110222020000100
41101002013210
520414223330
62035144100
7345362010
oct121020744
943866010
1021242340
1110a99759
127145030
134529a42
142b6d540
151ce9060
hex14421e4

21242340 has 144 divisors (see below), whose sum is σ = 76946688. Its totient is φ = 4637952.

The previous prime is 21242339. The next prime is 21242357. The reversal of 21242340 is 4324212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28614 + ... + 29346.

It is an arithmetic number, because the mean of its divisors is an integer number (534352).

Almost surely, 221242340 is an apocalyptic number.

21242340 is a gapful number since it is divisible by the number (20) 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 21242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38473344).

21242340 is an abundant number, since it is smaller than the sum of its proper divisors (55704348).

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

21242340 is a wasteful number, since it uses less digits than its factorization.

21242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21242340 is about 4608.9413101058. The cubic root of 21242340 is about 276.9496274401.

Adding to 21242340 its reverse (4324212), we get a palindrome (25566552).

The spelling of 21242340 in words is "twenty-one million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 733 805 828 966 1035 1260 1380 1449 1466 1610 1932 2070 2199 2415 2898 2932 3220 3665 4140 4398 4830 5131 5796 6597 7245 7330 8796 9660 10262 10995 13194 14490 14660 15393 16859 20524 21990 25655 26388 28980 30786 32985 33718 43980 46179 50577 51310 61572 65970 67436 76965 84295 92358 101154 102620 118013 131940 151731 153930 168590 184716 202308 230895 236026 252885 303462 307860 337180 354039 461790 472052 505770 590065 606924 708078 758655 923580 1011540 1062117 1180130 1416156 1517310 1770195 2124234 2360260 3034620 3540390 4248468 5310585 7080780 10621170 21242340