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201441520 = 2457615897
BaseRepresentation
bin11000000000111…
…00000011110000
3112001001021211001
430000130003300
5403032112040
631553331344
74664140030
oct1400340360
9461037731
10201441520
11a3787aa5
1257566b54
1332970487
141ca798c0
1512a4159a
hexc01c0f0

201441520 has 80 divisors (see below), whose sum is σ = 544125888. Its totient is φ = 67921920.

The previous prime is 201441497. The next prime is 201441563. The reversal of 201441520 is 25144102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

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, 31212 + ... + 37108.

Almost surely, 2201441520 is an apocalyptic number.

201441520 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 201441520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272062944).

201441520 is an abundant number, since it is smaller than the sum of its proper divisors (342684368).

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

201441520 is a wasteful number, since it uses less digits than its factorization.

201441520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 201441520 is about 14193.0095469566. The cubic root of 201441520 is about 586.2051955278.

Adding to 201441520 its reverse (25144102), we get a palindrome (226585622).

It can be divided in two parts, 2014 and 41520, that added together give a palindrome (43534).

The spelling of 201441520 in words is "two hundred one million, four hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 5897 6832 8540 11794 17080 23588 29485 34160 41279 47176 58970 82558 94352 117940 165116 206395 235880 330232 359717 412790 471760 660464 719434 825580 1438868 1651160 1798585 2518019 2877736 3302320 3597170 5036038 5755472 7194340 10072076 12590095 14388680 20144152 25180190 28777360 40288304 50360380 100720760 201441520