Search a number
-
+
4002206160 = 243516675859
BaseRepresentation
bin1110111010001100…
…1101000111010000
3101022220212010201210
43232203031013100
531144031044120
61501045100120
7201115122351
oct35643150720
911286763653
104002206160
1117741607a7
129383b7640
134ba214934
1429d769d28
1518655dce0
hexee8cd1d0

4002206160 has 40 divisors (see below), whose sum is σ = 12406839840. Its totient is φ = 1067254912.

The previous prime is 4002206141. The next prime is 4002206167. The reversal of 4002206160 is 616022004.

It is a happy number.

4002206160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002206167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8337690 + ... + 8338169.

It is an arithmetic number, because the mean of its divisors is an integer number (310170996).

Almost surely, 24002206160 is an apocalyptic number.

4002206160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002206160 is an abundant number, since it is smaller than the sum of its proper divisors (8404633680).

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

4002206160 is a wasteful number, since it uses less digits than its factorization.

4002206160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16675875 (or 16675869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4002206160 is about 63262.9920253540. The cubic root of 4002206160 is about 1587.6928367232.

Adding to 4002206160 its reverse (616022004), we get a palindrome (4618228164).

The spelling of 4002206160 in words is "four billion, two million, two hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16675859 33351718 50027577 66703436 83379295 100055154 133406872 166758590 200110308 250137885 266813744 333517180 400220616 500275770 667034360 800441232 1000551540 1334068720 2001103080 4002206160