Search a number
-
+
4120540221 = 37414785761
BaseRepresentation
bin1111010110011010…
…0111010000111101
3101122011112010112210
43311212213100331
531414324241341
61520513251033
7204053004540
oct36546472075
911564463483
104120540221
111824a34946
1296bb63a79
135088a74a5
142b1370857
15191b35c16
hexf59a743d

4120540221 has 16 divisors (see below), whose sum is σ = 6432064128. Its totient is φ = 2297164800.

The previous prime is 4120540201. The next prime is 4120540247. The reversal of 4120540221 is 1220450214.

It is not a de Polignac number, because 4120540221 - 211 = 4120538173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120540201) 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, 2392020 + ... + 2393741.

It is an arithmetic number, because the mean of its divisors is an integer number (402004008).

Almost surely, 24120540221 is an apocalyptic number.

4120540221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4120540221 is a deficient number, since it is larger than the sum of its proper divisors (2311523907).

4120540221 is a wasteful number, since it uses less digits than its factorization.

4120540221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785812.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4120540221 is about 64191.4341715466. The cubic root of 4120540221 is about 1603.1889810532.

Adding to 4120540221 its reverse (1220450214), we get a palindrome (5340990435).

The spelling of 4120540221 in words is "four billion, one hundred twenty million, five hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 7 21 41 123 287 861 4785761 14357283 33500327 100500981 196216201 588648603 1373513407 4120540221