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209380041 = 321317105269
BaseRepresentation
bin11000111101011…
…10001011001001
3112120222121102100
430132232023021
5412100130131
632435424013
75121462303
oct1436561311
9476877370
10209380041
11a820a362
125a155009
13344bc920
141db44973
15135ad7e6
hexc7ae2c9

209380041 has 24 divisors (see below), whose sum is σ = 344864520. Its totient is φ = 121268736.

The previous prime is 209380027. The next prime is 209380049. The reversal of 209380041 is 140083902.

It can be written as a sum of positive squares in 4 ways, for example, as 2624400 + 206755641 = 1620^2 + 14379^2 .

It is not a de Polignac number, because 209380041 - 214 = 209363657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 209379987 and 209380014.

It is not an unprimeable number, because it can be changed into a prime (209380049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50646 + ... + 54623.

It is an arithmetic number, because the mean of its divisors is an integer number (14369355).

Almost surely, 2209380041 is an apocalyptic number.

It is an amenable number.

209380041 is a deficient number, since it is larger than the sum of its proper divisors (135484479).

209380041 is a wasteful number, since it uses less digits than its factorization.

209380041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105305 (or 105302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 209380041 is about 14469.9703178687. The cubic root of 209380041 is about 593.8067000183.

The spelling of 209380041 in words is "two hundred nine million, three hundred eighty thousand, forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 105269 315807 947421 1368497 1789573 4105491 5368719 12316473 16106157 23264449 69793347 209380041