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20001249 = 34246929
BaseRepresentation
bin100110001001…
…1000111100001
31101122011120000
41030103013201
520110014444
61552410213
7332002452
oct114230741
941564500
1020001249
1110321264
126846969
1341b3b78
142929129
151b51469
hex13131e1

20001249 has 10 divisors (see below), whose sum is σ = 29878530. Its totient is φ = 13334112.

The previous prime is 20001239. The next prime is 20001253. The reversal of 20001249 is 94210002.

It can be written as a sum of positive squares in only one way, i.e., 16257024 + 3744225 = 4032^2 + 1935^2 .

It is not a de Polignac number, because 20001249 - 25 = 20001217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20001239) 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 9 ways as a sum of consecutive naturals, for example, 123384 + ... + 123545.

It is an arithmetic number, because the mean of its divisors is an integer number (2987853).

Almost surely, 220001249 is an apocalyptic number.

It is an amenable number.

20001249 is a deficient number, since it is larger than the sum of its proper divisors (9877281).

20001249 is an equidigital number, since it uses as much as digits as its factorization.

20001249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246941 (or 246932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20001249 is about 4472.2755952647. The cubic root of 20001249 is about 271.4474120545.

It can be divided in two parts, 2000 and 1249, that added together give a square (3249 = 572).

The spelling of 20001249 in words is "twenty million, one thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 246929 740787 2222361 6667083 20001249