Search a number
-
+
4386160 = 245109503
BaseRepresentation
bin10000101110110101110000
322020211200101
4100232311300
52110324120
6234002144
752165432
oct20566560
98224611
104386160
112526429
121576354
13ba757c
14822652
155b990a
hex42ed70

4386160 has 40 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 1734912.

The previous prime is 4386149. The next prime is 4386191. The reversal of 4386160 is 616834.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8469 + ... + 8971.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 24386160 is an apocalyptic number.

4386160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4386160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

4386160 is an abundant number, since it is smaller than the sum of its proper divisors (5925680).

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

4386160 is a wasteful number, since it uses less digits than its factorization.

4386160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4386160 is about 2094.3161174952. The cubic root of 4386160 is about 163.6922644777.

The spelling of 4386160 in words is "four million, three hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 503 545 872 1006 1090 1744 2012 2180 2515 4024 4360 5030 8048 8720 10060 20120 40240 54827 109654 219308 274135 438616 548270 877232 1096540 2193080 4386160