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2062160 = 245149173
BaseRepresentation
bin111110111011101010000
310212202202022
413313131100
51011442120
6112111012
723346062
oct7673520
93782668
102062160
111189371
12835468
13572819
143b9732
152ab025
hex1f7750

2062160 has 40 divisors (see below), whose sum is σ = 4854600. Its totient is φ = 814592.

The previous prime is 2062153. The next prime is 2062169. The reversal of 2062160 is 612602.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 1827904 = 484^2 + 1352^2 .

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 (2062169) 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 7 ways as a sum of consecutive naturals, for example, 11834 + ... + 12006.

It is an arithmetic number, because the mean of its divisors is an integer number (121365).

22062160 is an apocalyptic number.

2062160 is a gapful number since it is divisible by the number (20) 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 2062160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427300).

2062160 is an abundant number, since it is smaller than the sum of its proper divisors (2792440).

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

2062160 is a wasteful number, since it uses less digits than its factorization.

2062160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2062160 is about 1436.0222839497. The cubic root of 2062160 is about 127.2840892763.

Adding to 2062160 its reverse (612602), we get a palindrome (2674762).

It can be divided in two parts, 2062 and 160, that added together give a palindrome (2222).

The spelling of 2062160 in words is "two million, sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 173 298 346 596 692 745 865 1192 1384 1490 1730 2384 2768 2980 3460 5960 6920 11920 13840 25777 51554 103108 128885 206216 257770 412432 515540 1031080 2062160