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2160120 = 233547383
BaseRepresentation
bin1000001111010111111000
311001202010110
420033113320
51023110440
6114144320
724234504
oct10172770
94052113
102160120
111245a26
128820a0
135a82a1
14403304
152ca080
hex20f5f8

2160120 has 64 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 562304.

The previous prime is 2160113. The next prime is 2160127. The reversal of 2160120 is 210612.

2160120 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (2160113) and next prime (2160127).

It is a super-2 number, since 2×21601202 = 9332236828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2160096 and 2160105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5449 + ... + 5831.

It is an arithmetic number, because the mean of its divisors is an integer number (103680).

22160120 is an apocalyptic number.

2160120 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 2160120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760).

2160120 is an abundant number, since it is smaller than the sum of its proper divisors (4475400).

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

2160120 is a wasteful number, since it uses less digits than its factorization.

2160120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2160120 is about 1469.7346699320. The cubic root of 2160120 is about 129.2684751739.

Adding to 2160120 its reverse (210612), we get a palindrome (2370732).

The spelling of 2160120 in words is "two million, one hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 383 470 564 705 766 940 1128 1149 1410 1532 1880 1915 2298 2820 3064 3830 4596 5640 5745 7660 9192 11490 15320 18001 22980 36002 45960 54003 72004 90005 108006 144008 180010 216012 270015 360020 432024 540030 720040 1080060 2160120