Search a number
-
+
209484 = 223211232
BaseRepresentation
bin110011001001001100
3101122100200
4303021030
523200414
64253500
71531512
oct631114
9348320
10209484
11133430
12a1290
1374472
14564b2
1542109
hex3324c

209484 has 54 divisors (see below), whose sum is σ = 603876. Its totient is φ = 60720.

The previous prime is 209477. The next prime is 209497. The reversal of 209484 is 484902.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209484.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9097 + ... + 9119.

2209484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301938).

209484 is an abundant number, since it is smaller than the sum of its proper divisors (394392).

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

209484 is a wasteful number, since it uses less digits than its factorization.

209484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 209484 is about 457.6942210690. The cubic root of 209484 is about 59.3904960477.

The spelling of 209484 in words is "two hundred nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 529 759 828 1012 1058 1518 1587 2116 2277 3036 3174 4554 4761 5819 6348 9108 9522 11638 17457 19044 23276 34914 52371 69828 104742 209484