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2163240 = 233352003
BaseRepresentation
bin1000010000001000101000
311001220102000
420100020220
51023210430
6114211000
724246552
oct10201050
94056360
102163240
111248302
12883a60
135a9831
144044d2
152cae60
hex210228

2163240 has 64 divisors (see below), whose sum is σ = 7214400. Its totient is φ = 576576.

The previous prime is 2163223. The next prime is 2163241. The reversal of 2163240 is 423612.

It is a happy number.

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

It is a d-powerful number, because it can be written as 29 + 1 + 62 + 3 + 221 + 48 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2163241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (112725).

22163240 is an apocalyptic number.

2163240 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 2163240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607200).

2163240 is an abundant number, since it is smaller than the sum of its proper divisors (5051160).

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

2163240 is a wasteful number, since it uses less digits than its factorization.

2163240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2163240 is about 1470.7957030125. The cubic root of 2163240 is about 129.3306821530.

Adding to 2163240 its reverse (423612), we get a palindrome (2586852).

The spelling of 2163240 in words is "two million, one hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2003 4006 6009 8012 10015 12018 16024 18027 20030 24036 30045 36054 40060 48072 54081 60090 72108 80120 90135 108162 120180 144216 180270 216324 240360 270405 360540 432648 540810 721080 1081620 2163240