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209430 = 232513179
BaseRepresentation
bin110011001000010110
3101122021200
4303020112
523200210
64253330
71531404
oct631026
9348250
10209430
11133391
12a1246
1374430
1456474
15420c0
hex33216

209430 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 51264.

The previous prime is 209401. The next prime is 209431. The reversal of 209430 is 34902.

209430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209431) by changing a digit.

209430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2209430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

209430 is an abundant number, since it is smaller than the sum of its proper divisors (380250).

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

209430 is a wasteful number, since it uses less digits than its factorization.

209430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 209430 is about 457.6352259169. The cubic root of 209430 is about 59.3853924561.

The spelling of 209430 in words is "two hundred nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 179 195 234 358 390 537 585 895 1074 1170 1611 1790 2327 2685 3222 4654 5370 6981 8055 11635 13962 16110 20943 23270 34905 41886 69810 104715 209430