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2003260 = 225741349
BaseRepresentation
bin111101001000100111100
310202202221211
413221010330
51003101020
6110534204
723012260
oct7510474
93682854
102003260
111149096
12807364
13551a7c
143a20a0
1529885a
hex1e913c

2003260 has 48 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 668160.

The previous prime is 2003257. The next prime is 2003269. The reversal of 2003260 is 623002.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2003260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5566 + ... + 5914.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

22003260 is an apocalyptic number.

2003260 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 2003260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469600).

2003260 is an abundant number, since it is smaller than the sum of its proper divisors (2935940).

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

2003260 is a wasteful number, since it uses less digits than its factorization.

2003260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2003260 is about 1415.3656771308. The cubic root of 2003260 is about 126.0605235392.

Adding to 2003260 its reverse (623002), we get a palindrome (2626262).

The spelling of 2003260 in words is "two million, three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 349 410 574 698 820 1148 1396 1435 1745 2443 2870 3490 4886 5740 6980 9772 12215 14309 24430 28618 48860 57236 71545 100163 143090 200326 286180 400652 500815 1001630 2003260