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14489640 = 23325113659
BaseRepresentation
bin110111010001…
…100000101000
31000021011001100
4313101200220
512202132030
61234321400
7234105564
oct67214050
930234040
1014489640
1181a7310
124a29260
133004269
141cd26a4
151413360
hexdd1828

14489640 has 96 divisors (see below), whose sum is σ = 51386400. Its totient is φ = 3511680.

The previous prime is 14489639. The next prime is 14489641. The reversal of 14489640 is 4698441.

14489640 = T3 + T4 + ... + T442.

It is a happy number.

14489640 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (14489639) and next prime (14489641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14489595 and 14489604.

It is not an unprimeable number, because it can be changed into a prime (14489641) 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, 2131 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (535275).

Almost surely, 214489640 is an apocalyptic number.

14489640 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 14489640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693200).

14489640 is an abundant number, since it is smaller than the sum of its proper divisors (36896760).

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

14489640 is a wasteful number, since it uses less digits than its factorization.

14489640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14489640 is about 3806.5259752168. The cubic root of 14489640 is about 243.7918586890.

It can be divided in two parts, 14489 and 640, that added together give a square (15129 = 1232).

The spelling of 14489640 in words is "fourteen million, four hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3659 3960 7318 10977 14636 18295 21954 29272 32931 36590 40249 43908 54885 65862 73180 80498 87816 109770 120747 131724 146360 160996 164655 201245 219540 241494 263448 321992 329310 362241 402490 439080 482988 603735 658620 724482 804980 965976 1207470 1317240 1448964 1609960 1811205 2414940 2897928 3622410 4829880 7244820 14489640