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201240040 = 23537227599
BaseRepresentation
bin10111111111010…
…10110111101000
3112000200001102211
423333222313220
5403004140130
631545134504
74662340441
oct1377526750
9460601384
10201240040
11a365a691
125748a434
13328cc861
141ca262c8
1512a01a2a
hexbfeade8

201240040 has 64 divisors (see below), whose sum is σ = 467856000. Its totient is φ = 77845248.

The previous prime is 201240029. The next prime is 201240047. The reversal of 201240040 is 40042102.

It is a self number, because there is not a number n which added to its sum of digits gives 201240040.

It is not an unprimeable number, because it can be changed into a prime (201240047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335661 + ... + 336259.

It is an arithmetic number, because the mean of its divisors is an integer number (7310250).

Almost surely, 2201240040 is an apocalyptic number.

201240040 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 201240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233928000).

201240040 is an abundant number, since it is smaller than the sum of its proper divisors (266615960).

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

201240040 is a wasteful number, since it uses less digits than its factorization.

201240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 201240040 is about 14185.9099108940. The cubic root of 201240040 is about 586.0096912747.

Adding to 201240040 its reverse (40042102), we get a palindrome (241282142).

The spelling of 201240040 in words is "two hundred one million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 227 296 370 454 599 740 908 1135 1198 1480 1816 2270 2396 2995 4540 4792 5990 8399 9080 11980 16798 22163 23960 33596 41995 44326 67192 83990 88652 110815 135973 167980 177304 221630 271946 335960 443260 543892 679865 886520 1087784 1359730 2719460 5031001 5438920 10062002 20124004 25155005 40248008 50310010 100620020 201240040