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2163060 = 2232561197
BaseRepresentation
bin1000010000000101110100
311001220011100
420100011310
51023204220
6114210100
724246204
oct10200564
94056140
102163060
111248159
12883930
135a9723
14404404
152cad90
hex210174

2163060 has 72 divisors (see below), whose sum is σ = 6702696. Its totient is φ = 564480.

The previous prime is 2163059. The next prime is 2163067. The reversal of 2163060 is 603612.

It is a happy number.

2163060 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 1920996 = 492^2 + 1386^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10882 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (93093).

22163060 is an apocalyptic number.

2163060 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 2163060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351348).

2163060 is an abundant number, since it is smaller than the sum of its proper divisors (4539636).

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

2163060 is a wasteful number, since it uses less digits than its factorization.

2163060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2163060 is about 1470.7345103723. The cubic root of 2163060 is about 129.3270949153.

Adding to 2163060 its reverse (603612), we get a palindrome (2766672).

The spelling of 2163060 in words is "two million, one hundred sixty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 197 244 305 366 394 549 591 610 732 788 915 985 1098 1182 1220 1773 1830 1970 2196 2364 2745 2955 3546 3660 3940 5490 5910 7092 8865 10980 11820 12017 17730 24034 35460 36051 48068 60085 72102 108153 120170 144204 180255 216306 240340 360510 432612 540765 721020 1081530 2163060