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2003240 = 23561821
BaseRepresentation
bin111101001000100101000
310202202221002
413221010220
51003100430
6110534132
723012231
oct7510450
93682832
102003240
111149078
12807348
13551a65
143a2088
15298845
hex1e9128

2003240 has 32 divisors (see below), whose sum is σ = 4586760. Its totient is φ = 787200.

The previous prime is 2003237. The next prime is 2003257. The reversal of 2003240 is 423002.

It can be written as a sum of positive squares in 4 ways, for example, as 806404 + 1196836 = 898^2 + 1094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2030 + ... + 2850.

22003240 is an apocalyptic number.

2003240 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 2003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293380).

2003240 is an abundant number, since it is smaller than the sum of its proper divisors (2583520).

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

2003240 is a wasteful number, since it uses less digits than its factorization.

2003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2003240 is about 1415.3586118013. The cubic root of 2003240 is about 126.0601040199.

Adding to 2003240 its reverse (423002), we get a palindrome (2426242).

The spelling of 2003240 in words is "two million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 821 1220 1642 2440 3284 4105 6568 8210 16420 32840 50081 100162 200324 250405 400648 500810 1001620 2003240