Search a number
-
+
41116640 = 2552311173
BaseRepresentation
bin1001110011011…
…0001111100000
32212100221102112
42130312033200
541011213030
64025134452
71006325405
oct234661740
985327375
1041116640
11212335a4
121192a428
138697b96
1456642ac
153922a95
hex27363e0

41116640 has 48 divisors (see below), whose sum is σ = 101370528. Its totient is φ = 15730176.

The previous prime is 41116637. The next prime is 41116661. The reversal of 41116640 is 4661114.

41116640 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 (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1907 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (2111886).

Almost surely, 241116640 is an apocalyptic number.

41116640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41116640 is an abundant number, since it is smaller than the sum of its proper divisors (60253888).

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

41116640 is a wasteful number, since it uses less digits than its factorization.

41116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211 (or 11203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 41116640 is about 6412.2258225986. The cubic root of 41116640 is about 345.1484063612.

Adding to 41116640 its reverse (4661114), we get a palindrome (45777754).

The spelling of 41116640 in words is "forty-one million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 11173 22346 44692 55865 89384 111730 178768 223460 256979 357536 446920 513958 893840 1027916 1284895 1787680 2055832 2569790 4111664 5139580 8223328 10279160 20558320 41116640