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201018240 = 2733511633
BaseRepresentation
bin10111111101101…
…00101110000000
3112000020210012000
423332310232000
5402430040430
631540304000
74660425003
oct1376645600
9460223160
10201018240
11a3518a85
12573a2000
1332852907
141c9a953a
15129aae60
hexbfb4b80

201018240 has 128 divisors (see below), whose sum is σ = 712000800. Its totient is φ = 53600256.

The previous prime is 201018197. The next prime is 201018269. The reversal of 201018240 is 42810102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11464 + ... + 23096.

Almost surely, 2201018240 is an apocalyptic number.

201018240 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 201018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356000400).

201018240 is an abundant number, since it is smaller than the sum of its proper divisors (510982560).

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

201018240 is a wasteful number, since it uses less digits than its factorization.

201018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201018240 is about 14178.0901393664. The cubic root of 201018240 is about 585.7943187427.

Adding to 201018240 its reverse (42810102), we get a palindrome (243828342).

The spelling of 201018240 in words is "two hundred one million, eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 11633 17280 23266 34899 46532 58165 69798 93064 104697 116330 139596 174495 186128 209394 232660 279192 314091 348990 372256 418788 465320 523485 558384 628182 697980 744512 837576 930640 1046970 1116768 1256364 1395960 1489024 1570455 1675152 1861280 2093940 2233536 2512728 2791920 3140910 3350304 3722560 4187880 4467072 5025456 5583840 6281820 6700608 7445120 8375760 10050912 11167680 12563640 13401216 16751520 20101824 22335360 25127280 33503040 40203648 50254560 67006080 100509120 201018240