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209385 = 3451147
BaseRepresentation
bin110011000111101001
3101122020000
4303013221
523200020
64253213
71531311
oct630751
9348200
10209385
11133350
12a1209
13743c7
1456441
1542090
hex331e9

209385 has 40 divisors (see below), whose sum is σ = 418176. Its totient is φ = 99360.

The previous prime is 209381. The next prime is 209393. The reversal of 209385 is 583902.

It is not a de Polignac number, because 209385 - 22 = 209381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (209381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4432 + ... + 4478.

2209385 is an apocalyptic number.

It is an amenable number.

209385 is a deficient number, since it is larger than the sum of its proper divisors (208791).

209385 is a wasteful number, since it uses less digits than its factorization.

209385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 209385 is about 457.5860574799. The cubic root of 209385 is about 59.3811387928.

The spelling of 209385 in words is "two hundred nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 81 99 135 141 165 235 297 405 423 495 517 705 891 1269 1485 1551 2115 2585 3807 4455 4653 6345 7755 13959 19035 23265 41877 69795 209385