Search a number
-
+
208128 = 283271
BaseRepresentation
bin110010110100000000
3101120111110
4302310000
523130003
64243320
71524534
oct626400
9346443
10208128
11132408
12a0540
137396b
1455bc4
1541a03
hex32d00

208128 has 36 divisors (see below), whose sum is σ = 555968. Its totient is φ = 69120.

The previous prime is 208121. The next prime is 208129. The reversal of 208128 is 821802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633 + ... + 903.

2208128 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 208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277984).

208128 is an abundant number, since it is smaller than the sum of its proper divisors (347840).

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

208128 is an equidigital number, since it uses as much as digits as its factorization.

208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 208128 is about 456.2104777403. The cubic root of 208128 is about 59.2620727059.

The spelling of 208128 in words is "two hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 542 768 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 34688 52032 69376 104064 208128