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4424160 = 253513709
BaseRepresentation
bin10000111000000111100000
322022202210210
4100320013200
52113033120
6234454120
752414266
oct20700740
98282723
104424160
112551a34
121594340
13bbb960
14832436
155c5ce0
hex4381e0

4424160 has 96 divisors (see below), whose sum is σ = 15029280. Its totient is φ = 1087488.

The previous prime is 4424143. The next prime is 4424171. The reversal of 4424160 is 614244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5886 + ... + 6594.

It is an arithmetic number, because the mean of its divisors is an integer number (156555).

Almost surely, 24424160 is an apocalyptic number.

4424160 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 4424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514640).

4424160 is an abundant number, since it is smaller than the sum of its proper divisors (10605120).

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

4424160 is a wasteful number, since it uses less digits than its factorization.

4424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4424160 is about 2103.3687265908. The cubic root of 4424160 is about 164.1636280827.

The spelling of 4424160 in words is "four million, four hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 709 780 1040 1248 1418 1560 2080 2127 2836 3120 3545 4254 5672 6240 7090 8508 9217 10635 11344 14180 17016 18434 21270 22688 27651 28360 34032 36868 42540 46085 55302 56720 68064 73736 85080 92170 110604 113440 138255 147472 170160 184340 221208 276510 294944 340320 368680 442416 553020 737360 884832 1106040 1474720 2212080 4424160