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260202020 = 225131000777
BaseRepresentation
bin11111000001001…
…01111000100100
3200010121122001212
433200211320210
51013102431040
641453010552
76306452321
oct1740457044
9603548055
10260202020
111239716a1
1273183a58
1341ba51c0
14267b3b48
1517c9bd65
hexf825e24

260202020 has 24 divisors (see below), whose sum is σ = 588457464. Its totient is φ = 96074496.

The previous prime is 260202001. The next prime is 260202029. The reversal of 260202020 is 20202062.

260202020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 234151204 = 5104^2 + 15302^2 .

260202020 is a modest number, since divided by 202020 gives 260 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 260201986 and 260202004.

It is not an unprimeable number, because it can be changed into a prime (260202029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500129 + ... + 500648.

It is an arithmetic number, because the mean of its divisors is an integer number (24519061).

Almost surely, 2260202020 is an apocalyptic number.

260202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260202020 is an abundant number, since it is smaller than the sum of its proper divisors (328255444).

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

260202020 is a wasteful number, since it uses less digits than its factorization.

260202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000799 (or 1000797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 260202020 is about 16130.7786544853. The cubic root of 260202020 is about 638.4156939513.

Adding to 260202020 its reverse (20202062), we get a palindrome (280404082).

The spelling of 260202020 in words is "two hundred sixty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1000777 2001554 4003108 5003885 10007770 13010101 20015540 26020202 52040404 65050505 130101010 260202020