Search a number
-
+
4168220 = 2257191567
BaseRepresentation
bin1111111001101000011100
321211202201112
433321220130
52031340340
6225201152
750300150
oct17715034
97752645
104168220
112397711
1214901b8
13b2c304
147a7060
15575065
hex3f9a1c

4168220 has 48 divisors (see below), whose sum is σ = 10536960. Its totient is φ = 1353024.

The previous prime is 4168207. The next prime is 4168223. The reversal of 4168220 is 228614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1877 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (219520).

Almost surely, 24168220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268480).

4168220 is an abundant number, since it is smaller than the sum of its proper divisors (6368740).

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

4168220 is a wasteful number, since it uses less digits than its factorization.

4168220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4168220 is about 2041.6219042712. The cubic root of 4168220 is about 160.9348913078.

The spelling of 4168220 in words is "four million, one hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1567 2660 3134 6268 7835 10969 15670 21938 29773 31340 43876 54845 59546 109690 119092 148865 208411 219380 297730 416822 595460 833644 1042055 2084110 4168220