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14161840 = 245711319
BaseRepresentation
bin110110000001…
…011110110000
3222122111101121
4312001132300
512111134330
61223312024
7231242110
oct66013660
928574347
1014161840
117aa3000
1248ab614
132c1acb4
141c49040
15139b17a
hexd817b0

14161840 has 160 divisors (see below), whose sum is σ = 43568640. Its totient is φ = 4181760.

The previous prime is 14161817. The next prime is 14161843. The reversal of 14161840 is 4816141.

14161840 = 3142 + 3152 + ... + 4182.

It is not an unprimeable number, because it can be changed into a prime (14161843) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 745351 + ... + 745369.

It is an arithmetic number, because the mean of its divisors is an integer number (272304).

Almost surely, 214161840 is an apocalyptic number.

14161840 is a gapful number since it is divisible by the number (10) 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 14161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784320).

14161840 is an abundant number, since it is smaller than the sum of its proper divisors (29406800).

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

14161840 is a wasteful number, since it uses less digits than its factorization.

14161840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 14161840 is about 3763.2220237451. Note that the first 3 decimals coincide. The cubic root of 14161840 is about 241.9393787550.

Adding to 14161840 its reverse (4816141), we get a palindrome (18977981).

The spelling of 14161840 in words is "fourteen million, one hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 19 20 22 28 35 38 40 44 55 56 70 76 77 80 88 95 110 112 121 133 140 152 154 176 190 209 220 242 266 280 304 308 380 385 418 440 484 532 560 605 616 665 760 770 836 847 880 968 1045 1064 1210 1232 1330 1331 1463 1520 1540 1672 1694 1936 2090 2128 2299 2420 2660 2662 2926 3080 3344 3388 4180 4235 4598 4840 5320 5324 5852 6160 6655 6776 7315 8360 8470 9196 9317 9680 10640 10648 11495 11704 13310 13552 14630 16093 16720 16940 18392 18634 21296 22990 23408 25289 26620 29260 32186 33880 36784 37268 45980 46585 50578 53240 58520 64372 67760 74536 80465 91960 93170 101156 106480 117040 126445 128744 149072 160930 177023 183920 186340 202312 252890 257488 321860 354046 372680 404624 505780 643720 708092 745360 885115 1011560 1287440 1416184 1770230 2023120 2832368 3540460 7080920 14161840