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201020160 = 2835114759
BaseRepresentation
bin10111111101101…
…01001100000000
3112000020212211010
423332311030000
5402430121120
631540320520
74660433415
oct1376651400
9460225733
10201020160
11a351a470
12573a3140
1332853753
141c9aa10c
15129ab7e0
hexbfb5300

201020160 has 144 divisors (see below), whose sum is σ = 700519680. Its totient is φ = 48721920.

The previous prime is 201020159. The next prime is 201020191. The reversal of 201020160 is 61020102.

201020160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 39861 + ... + 44619.

It is an arithmetic number, because the mean of its divisors is an integer number (4864720).

Almost surely, 2201020160 is an apocalyptic number.

201020160 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 201020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350259840).

201020160 is an abundant number, since it is smaller than the sum of its proper divisors (499499520).

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

201020160 is a wasteful number, since it uses less digits than its factorization.

201020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201020160 is about 14178.1578493117. The cubic root of 201020160 is about 585.7961837833.

Adding to 201020160 its reverse (61020102), we get a palindrome (262040262).

The spelling of 201020160 in words is "two hundred one million, twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 4759 5280 7040 8448 9518 10560 14080 14277 19036 21120 23795 28554 38072 42240 47590 52349 57108 71385 76144 95180 104698 114216 142770 152288 157047 190360 209396 228432 261745 285540 304576 314094 380720 418792 456864 523490 571080 609152 628188 761440 785235 837584 913728 1046980 1142160 1218304 1256376 1522880 1570470 1675168 1827456 2093960 2284320 2512752 3045760 3140940 3350336 3654912 4187920 4568640 5025504 6091520 6281880 6700672 8375840 9137280 10051008 12563760 13401344 16751680 18274560 20102016 25127520 33503360 40204032 50255040 67006720 100510080 201020160