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205003689 = 31116737199
BaseRepresentation
bin11000011100000…
…01101110101001
3112021202021012020
430032001232221
5404440104224
632201535053
75036334252
oct1416015651
9467667166
10205003689
11a57a0340
12587a4489
1333619977
141d325b29
1512ee6c79
hexc381ba9

205003689 has 16 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 123497360.

The previous prime is 205003679. The next prime is 205003703. The reversal of 205003689 is 986300502.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 205003689 - 212 = 204999593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (205003619) 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 15 ways as a sum of consecutive naturals, for example, 13089 + ... + 24110.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800).

Almost surely, 2205003689 is an apocalyptic number.

It is an amenable number.

205003689 is a deficient number, since it is larger than the sum of its proper divisors (94977111).

205003689 is a wasteful number, since it uses less digits than its factorization.

205003689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37380.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 205003689 is about 14317.9498881649. The cubic root of 205003689 is about 589.6403908382.

The spelling of 205003689 in words is "two hundred five million, three thousand, six hundred eighty-nine".

Divisors: 1 3 11 33 167 501 1837 5511 37199 111597 409189 1227567 6212233 18636699 68334563 205003689