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21614040 = 233457953
BaseRepresentation
bin101001001110…
…0110111011000
31111200002220000
41102130313120
521013122130
62051133000
7351500460
oct122346730
944602800
1021614040
1111222a48
1272a4160
134629c96
142c28ba0
151d6e260
hex149cdd8

21614040 has 160 divisors (see below), whose sum is σ = 83112480. Its totient is φ = 4935168.

The previous prime is 21614029. The next prime is 21614057. The reversal of 21614040 is 4041612.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22204 + ... + 23156.

It is an arithmetic number, because the mean of its divisors is an integer number (519453).

Almost surely, 221614040 is an apocalyptic number.

21614040 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 21614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41556240).

21614040 is an abundant number, since it is smaller than the sum of its proper divisors (61498440).

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

21614040 is a wasteful number, since it uses less digits than its factorization.

21614040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21614040 is about 4649.0902335833. The cubic root of 21614040 is about 278.5556576025. Note that the first 3 decimals are identical.

Adding to 21614040 its reverse (4041612), we get a palindrome (25655652).

The spelling of 21614040 in words is "twenty-one million, six hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 953 1080 1134 1260 1512 1620 1890 1906 2268 2520 2835 2859 3240 3780 3812 4536 4765 5670 5718 6671 7560 7624 8577 9530 11340 11436 13342 14295 17154 19060 20013 22680 22872 25731 26684 28590 33355 34308 38120 40026 42885 51462 53368 57180 60039 66710 68616 77193 80052 85770 100065 102924 114360 120078 128655 133420 154386 160104 171540 180117 200130 205848 240156 257310 266840 300195 308772 343080 360234 385965 400260 480312 514620 540351 600390 617544 720468 771930 800520 900585 1029240 1080702 1200780 1440936 1543860 1801170 2161404 2401560 2701755 3087720 3602340 4322808 5403510 7204680 10807020 21614040