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201011040 = 25325139591
BaseRepresentation
bin10111111101100…
…10111101100000
3112000020102022100
423332302331200
5402424323130
631540210400
74660365006
oct1376627540
9460212270
10201011040
11a351362a
1257399a00
133284c559
141c9a6a76
15129a8c60
hexbfb2f60

201011040 has 72 divisors (see below), whose sum is σ = 685955088. Its totient is φ = 53602560.

The previous prime is 201011029. The next prime is 201011059. The reversal of 201011040 is 40110102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68356 + ... + 71235.

It is an arithmetic number, because the mean of its divisors is an integer number (9527154).

Almost surely, 2201011040 is an apocalyptic number.

201011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011040 is an abundant number, since it is smaller than the sum of its proper divisors (484944048).

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

201011040 is a wasteful number, since it uses less digits than its factorization.

201011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139612 (or 139601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201011040 is about 14177.8362241916. The cubic root of 201011040 is about 585.7873247348.

Adding to 201011040 its reverse (40110102), we get a palindrome (241121142).

The spelling of 201011040 in words is "two hundred one million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 139591 279182 418773 558364 697955 837546 1116728 1256319 1395910 1675092 2093865 2233456 2512638 2791820 3350184 4187730 4466912 5025276 5583640 6281595 6700368 8375460 10050552 11167280 12563190 13400736 16750920 20101104 22334560 25126380 33501840 40202208 50252760 67003680 100505520 201011040