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2160160 = 25523587
BaseRepresentation
bin1000001111011000100000
311001202011221
420033120200
51023111120
6114144424
724234562
oct10173040
94052157
102160160
111245a62
12882114
135a8302
14403332
152ca0aa
hex20f620

2160160 has 48 divisors (see below), whose sum is σ = 5334336. Its totient is φ = 825088.

The previous prime is 2160149. The next prime is 2160161. The reversal of 2160160 is 610612.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2160161) 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, 3387 + ... + 3973.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

22160160 is an apocalyptic number.

2160160 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 2160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667168).

2160160 is an abundant number, since it is smaller than the sum of its proper divisors (3174176).

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

2160160 is a wasteful number, since it uses less digits than its factorization.

2160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2160160 is about 1469.7482777673. The cubic root of 2160160 is about 129.2692730782.

Adding to 2160160 its reverse (610612), we get a palindrome (2770772).

The spelling of 2160160 in words is "two million, one hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 587 736 920 1174 1840 2348 2935 3680 4696 5870 9392 11740 13501 18784 23480 27002 46960 54004 67505 93920 108008 135010 216016 270020 432032 540040 1080080 2160160