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4243680 = 253257421
BaseRepresentation
bin10000001100000011100000
321222121020100
4100030003200
52041244210
6230542400
751033150
oct20140340
97877210
104243680
112439381
121507a00
13b5776c
147c6760
1558c5c0
hex40c0e0

4243680 has 144 divisors (see below), whose sum is σ = 16589664. Its totient is φ = 967680.

The previous prime is 4243667. The next prime is 4243699. The reversal of 4243680 is 863424.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9870 + ... + 10290.

It is an arithmetic number, because the mean of its divisors is an integer number (115206).

Almost surely, 24243680 is an apocalyptic number.

4243680 is a gapful number since it is divisible by the number (40) 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 4243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294832).

4243680 is an abundant number, since it is smaller than the sum of its proper divisors (12345984).

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

4243680 is a wasteful number, since it uses less digits than its factorization.

4243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4243680 is about 2060.0194173842. The cubic root of 4243680 is about 161.9002586763.

The spelling of 4243680 in words is "four million, two hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 421 480 504 560 630 672 720 840 842 1008 1120 1260 1263 1440 1680 1684 2016 2105 2520 2526 2947 3360 3368 3789 4210 5040 5052 5894 6315 6736 7578 8420 8841 10080 10104 11788 12630 13472 14735 15156 16840 17682 18945 20208 23576 25260 26523 29470 30312 33680 35364 37890 40416 44205 47152 50520 53046 58940 60624 67360 70728 75780 88410 94304 101040 106092 117880 121248 132615 141456 151560 176820 202080 212184 235760 265230 282912 303120 353640 424368 471520 530460 606240 707280 848736 1060920 1414560 2121840 4243680